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1

Castillo, Mariela, Sergio Rivas, María Sanoja, and Iván Zea. "Functions of Boundedκφ-Variation in the Sense of Riesz-Korenblum." Journal of Function Spaces and Applications 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/718507.

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We present the space of functions of boundedκφ-variation in the sense of Riesz-Korenblum, denoted byκBVφ[a,b], which is a combination of the notions of boundedφ-variation in the sense of Riesz and boundedκ-variation in the sense of Korenblum. Moreover, we prove that the space generated by this class of functions is a Banach space with a given norm and we prove that the uniformly bounded composition operator satisfies Matkowski's weak condition.
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2

Chen, Dongxiang, and Dan Zou. "The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator." Journal of Function Spaces 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/402713.

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The authors prove that Marcinkiewicz integral operator is not only are bounded onLp, for1<P<∞, but also a bounded map fromL1(Rn)to weakL1(Rn). Meanwhile, theBMOL-boundedness and(HL1,L1)-boundedness are also obtained. Finally, theLp-boundedness and(L∞,BMOL)-boundedness for the commutator of Marcinkiewicz integral of schrödinger type are established.
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3

Bandura, А. І. "REMARKS ON SOME CLASSES OF POSITIVE CONTINUOUS FUNCTIONS IN C^n." PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY Number, no. 1(59) (February 1, 2021): 9–15. http://dx.doi.org/10.31471/2304-7399-2020-1(59)-9-15.

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Here we prove two propositions providing sufficient conditions of belonging positive continuous functions in to classes and These auxiliary classes plays important role in theory of entire functions of bounded L-index in direction and bounded L-index in joint variables, where are continuous functions. They help to constuct general theory of bounded index for very wide class of entire functions, because for every entire functions with bounded multiplicities of zero points there exists a corresponding function or providing boundedness of L-index in direction or boundedness L–index in joint variables respectively. Our result requires uniform boundedness of logarithmic derivative in all variables and for belonging the function to class Q^n. Another result requires uniform boundedness of logarithmic derivative in directions and for belonging the function to class Q^n_b where is the complex conjugate vector to b.
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4

Bhardwaj, Vinod K., Shweta Dhawan, and Sandeep Gupta. "Density by Moduli and Statistical Boundedness." Abstract and Applied Analysis 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/2143018.

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We have generalized the notion of statistical boundedness by introducing the concept off-statistical boundedness for scalar sequences wherefis an unbounded modulus. It is shown that bounded sequences are precisely those sequences which aref-statistically bounded for every unbounded modulusf. A decomposition theorem forf-statistical convergence for vector valued sequences and a structure theorem forf-statistical boundedness have also been established.
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5

Hernández, C., M. Tkachenko, and D. Robbie. "Some properties of o-bounded and strictly o-bounded groups." Applied General Topology 1, no. 1 (October 1, 2000): 29. http://dx.doi.org/10.4995/agt.2000.3022.

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<p>We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a (strictly) o-bounded group is (strictly) o-bounded. Some non-trivial examples of strictly o-bounded free topological groups are given. We also show that o-boundedness is not productive, and strict o-boundedness cannot be characterized by means of second countable continuous homomorphic images.</p><p> </p>
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6

Christensen, Erik, and Allan M. Sinclair. "Completely bounded isomorphisms of injective von Neumann algebras." Proceedings of the Edinburgh Mathematical Society 32, no. 2 (June 1989): 317–27. http://dx.doi.org/10.1017/s0013091500028716.

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Milutin's Theorem states that if X and Y are uncountable metrizable compact Hausdorff spaces, then C(X) and C(Y) are isomorphic as Banach spaces [15, p. 379]. Thus there is only one isomorphism class of such Banach spaces. There is also an extensive theory of the Banach–Mazur distance between various classes of classical Banach spaces with the deepest results depending on probabilistic and asymptotic estimates [18]. Lindenstrauss, Haagerup and possibly others know that as Banach spaceswhere H is the infinite dimensional separable Hilbert space, R is the injective II 1-factor on H, and ≈ denotes Banach space isomorphism. Haagerup informed us of this result, and suggested considering completely bounded isomorphisms; it is a pleasure to acknowledge his suggestion. We replace Banach space isomorphisms by completely bounded isomorphisms that preserve the linear structure and involution, but not the product. One of the two theorems of this paper is a strengthened version of the above result: if N is an injective von Neumann algebra with separable predual and not finite type I of bounded degree, then N is completely boundedly isomorphic to B(H). The methods used are similar to those in Banach space theory with complete boundedness needing a little care at various points in the argument. Extensive use is made of the conditional expectation available for injective algebras, and the methods do not apply to the interesting problems of completely bounded isomorphisms of non-injective von Neumann algebras (see [4] for a study of the completely bounded approximation property).
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7

HAGHANY, A., M. MAZROOEI, and M. R. VEDADI. "BOUNDED AND FULLY BOUNDED MODULES." Bulletin of the Australian Mathematical Society 84, no. 3 (October 4, 2011): 433–40. http://dx.doi.org/10.1017/s0004972711002814.

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AbstractGeneralizing the concept of right bounded rings, a module MR is called bounded if annR(M/N)≤eRR for all N≤eMR. The module MR is called fully bounded if (M/P) is bounded as a module over R/annR(M/P) for any ℒ2-prime submodule P◃MR. Boundedness and right boundedness are Morita invariant properties. Rings with all modules (fully) bounded are characterized, and it is proved that a ring R is right Artinian if and only if RR has Krull dimension, all R-modules are fully bounded and ideals of R are finitely generated as right ideals. For certain fully bounded ℒ2-Noetherian modules MR, it is shown that the Krull dimension of MR is at most equal to the classical Krull dimension of R when both dimensions exist.
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8

Colonna, Flavia, and Songxiao Li. "Weighted Composition Operators from the Bloch Space and the Analytic Besov Spaces into the Zygmund Space." Journal of Operators 2013 (May 19, 2013): 1–9. http://dx.doi.org/10.1155/2013/154029.

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We provide several characterizations of the bounded and the compact weighted composition operators from the Bloch space and the analytic Besov spaces (with ) into the Zygmund space . As a special case, we show that the bounded (resp., compact) composition operators from , , and to coincide. In addition, the boundedness and the compactness of the composition operator can be characterized in terms of the boundedness (resp., convergence to 0, under the boundedness assumption of the operator) of the Zygmund norm of the powers of the symbol.
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9

Wang, Liming, Baoqing Yang, Xiaohua Ding, and Kai-Ning Wu. "Boundedness of Stochastic Delay Differential Systems with Impulsive Control and Impulsive Disturbance." Mathematical Problems in Engineering 2015 (2015): 1–8. http://dx.doi.org/10.1155/2015/707069.

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This paper considers thep-moment boundedness of nonlinear impulsive stochastic delay differential systems (ISDDSs). Using the Lyapunov-Razumikhin method and stochastic analysis techniques, we obtain sufficient conditions which guarantee thep-moment boundedness of ISDDSs. Two cases are considered, one is that the stochastic delay differential system (SDDS) may not be bounded, and how an impulsive strategy should be taken to make the SDDS be bounded. The other is that the SDDS is bounded, and an impulsive disturbance appears in this SDDS, then what restrictions on the impulsive disturbance should be adopted to maintain the boundedness of the SDDS. Our results provide sufficient criteria for these two cases. At last, two examples are given to illustrate the correctness of our results.
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10

BINASIOGLU, DEMET, YILMAZ YILMAZ, and ILHAN ICEN. "BOUNDEDNESS, CONTINUITY AND BOUNDED HOMOMORPHISMS IN TOPOLOGICAL GROUPS." Poincare Journal of Analysis and Applications 02, no. 01 (June 30, 2015): 49–58. http://dx.doi.org/10.46753/pjaa.2015.v02i01.004.

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11

Swartz, Charles. "The uniform boundedness principle for order bounded operators." International Journal of Mathematics and Mathematical Sciences 12, no. 3 (1989): 487–92. http://dx.doi.org/10.1155/s0161171289000621.

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Under appropriate hypotheses on the spaces, it is shown that a sequence of order bounded linear operators which is pointwise order bounded is uniformly order bounded on order bounded subsets. This result is used to establish a Banach-Steinhaus Theorem for order bounded operators.
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12

Buskes, G. J. H. M. "Extension of Riesz homomorphisms.I." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 39, no. 1 (August 1985): 107–20. http://dx.doi.org/10.1017/s1446788700022229.

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AbstractIn this paper we characterize boundedly laterally complete Riesz spaces, boundedly laterally complete Riesz spaces with the lateral boundedness property and Riesz spaces in which every principal ideal is finite dimensional. The characterizations are given in terms of extension properties of certain Riesz homomorphisms.
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13

GHAHRAMANI, F., E. SAMEI, and YONG ZHANG. "GENERALIZED AMENABILITY PROPERTIES OF THE BEURLING ALGEBRAS." Journal of the Australian Mathematical Society 89, no. 3 (December 2010): 359–76. http://dx.doi.org/10.1017/s1446788711001133.

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AbstractWe show that every one-codimensional closed two-sided ideal in a boundedly approximately contractible Banach algebra has a bounded approximate identity. We use this to give a complete characterization of bounded approximate contractibility of Beurling algebras associated to symmetric weights. We give a slight modification of a criterion for bounded approximate contractibility. We use our criterion to show that, for the quasi-SIN groups, in the presence of a certain growth condition on a weight, the associated Beurling algebra is boundedly approximately amenable if and only if it is boundedly approximately contractible. We show that approximate amenability of a Beurling algebra on an IN group necessitates the amenability of the group. Finally, we show that, for every locally compact abelian group, in the presence of a growth condition on the weight, 2n-weak amenability of the associated Beurling algebra is equivalent to every point-derivation vanishing at the augmentation character.
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14

Bandura, Andriy, and Oleh Skaskiv. "Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes." Demonstratio Mathematica 52, no. 1 (February 14, 2019): 82–87. http://dx.doi.org/10.1515/dema-2019-0008.

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Abstract We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is addressed for entire functions of bounded L-index in joint variables and entire functions of bounded L-index in direction. We also present a class of analytic functions in the unit ball which has bounded L-index in joint variables and has unbounded l-index in the variables z1 and z2 for any positive continuous function l : B2 → C.
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15

Xu, Jin, and Ye Guo Sun. "Finite-Time Control of Networked Control Systems with Bounded Packet Dropout." Advanced Materials Research 629 (December 2012): 840–44. http://dx.doi.org/10.4028/www.scientific.net/amr.629.840.

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In this paper, the finite-time boundedness and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump liner systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilization of the underlying systems are derived via liner matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.
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16

Bandura, Andriy. "A note on meromorphic functions with finite order and of bounded l-index." Ukrainian Mathematical Bulletin 18, no. 1 (March 9, 2021): 1–11. http://dx.doi.org/10.37069/1810-3200-2021-18-1-1.

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We present a generalization of concept of bounded $l$-index for meromorphic functions of finite order. Using known results for entire functions of bounded $l$-index we obtain similar propositions for meromorphic functions. There are presented analogs of Hayman's theorem and logarithmic criterion for this class. The propositions are widely used to investigate $l$-index boundedness of entire solutions of differential equations. Taking this into account we raise a general problem of generalization of some results from theory of entire functions of bounded $l$-index by meromorphic functions of finite order and their applications to meromorphic solutions of differential equations. There are deduced sufficient conditions providing $l$-index boundedness of meromoprhic solutions of finite order for the Riccati differential equation. Also we proved that the Weierstrass $\wp$-function has bounded $l$-index with $l(z)=|z|.$
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17

Liao, Fucheng, Yingxue Wu, Xiao Yu, and Jiamei Deng. "Finite-Time Bounded Tracking Control for Linear Discrete-Time Systems." Mathematical Problems in Engineering 2018 (June 25, 2018): 1–10. http://dx.doi.org/10.1155/2018/7017135.

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A finite-time bounded tracking control problem for a class of linear discrete-time systems subject to disturbances is investigated. Firstly, by applying a difference method to constructing the error system, the problem is transformed into a finite-time boundedness problem of the output vector of the error system. In fact, this is a finite-time boundedness problem with respect to the partial variables. Secondly, based on the partial stability theory and the research methods of finite-time boundedness problem, a state feedback controller formulated in form of linear matrix inequality is proposed. Based on this, a finite-time bounded tracking controller of the original system is obtained. Finally, a numerical example is presented to illustrate the effectiveness of the controller.
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18

Mannersalo, Paula. "Toeplitz operators on Bergman spaces of polygonal domains." Proceedings of the Edinburgh Mathematical Society 62, no. 4 (June 26, 2019): 1115–36. http://dx.doi.org/10.1017/s0013091519000105.

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AbstractWe study the boundedness of Toeplitz operators with locally integrable symbols on Bergman spaces Ap(Ω), 1 < p < ∞, where Ω ⊂ ℂ is a bounded simply connected domain with polygonal boundary. We give sufficient conditions for the boundedness of generalized Toeplitz operators in terms of ‘averages’ of symbol over certain Cartesian squares. We use the Whitney decomposition of Ω in the proof. We also give examples of bounded Toeplitz operators on Ap(Ω) in the case where polygon Ω has such a large corner that the Bergman projection is unbounded.
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19

Andersen, Kenneth F. "Cesàro averaging operators on Hardy spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126, no. 3 (1996): 617–24. http://dx.doi.org/10.1017/s0308210500022939.

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It is shown that the Cesàro averaging operatorℜα > – 1, satisfies an inequality which immediately implies that it is bounded on certain Hardy spaces including Hp, 0 < p < ∞. This answers an open question of Stempak, who introduced these operators and obtained their boundedness on Hp, 0 < p ≦ 2, for ℜα ≧ 0. The operator which is conjugate to on H2 is also shown to be bounded on Hp for 1 < p < ∞ and ℜα = – 1. This extends a result of Stempak who obtained this boundedness for 2 ≦ p≦ ∞ and ℜα ≧:0.
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20

Harrat, Chahrazed. "On a class of h-Fourier integral operators with the complex phase." Boletim da Sociedade Paranaense de Matemática 40 (January 1, 2022): 1–11. http://dx.doi.org/10.5269/bspm.42327.

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In this work, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators with the complex phase. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
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21

Zhu, Liang, Baolong Zhu, Zhiguo Yan, and Guolin Hu. "Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management." Mathematics 10, no. 12 (June 9, 2022): 1997. http://dx.doi.org/10.3390/math10121997.

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This paper investigates the finite-time contractively bounded control issue for positive linear systems under H∞ performance. The notion of H∞ finite-time contractive boundedness is first extended to positive systems. Finite-time contractively bounded control is considered to ensure the H∞ finite-time contractive boundedness of the considered positive systems. A state feedback finite-time contractively bounded controller design method is proposed. The corresponding sufficient condition for the existence of the desired controller is derived by using the Lyapunov function method and the matrix inequality technique. Moreover, a computable scheme for solving the controller gain is established by employing the cone complementary linearization approach. Finally, a numerical example and an application example about pest management are used to validate the effectiveness of proposed conditions.
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22

Liu, Suile, Yan Meng, and Dachun Yang. "Boundedness of maximal Calderón–Zygmund operators on non-homogeneous metric measure spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 144, no. 3 (May 16, 2014): 567–89. http://dx.doi.org/10.1017/s0308210512000054.

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Let (X, d, μ) be a metric measure space and let it satisfy the so-called upper doubling condition and the geometrically doubling condition. We show that, for the maximal Calderón–Zygmund operator associated with a singular integral whose kernel satisfies the standard size condition and the Hörmander condition, its Lp(μ)-boundedness with p ∈ (1, ∞) is equivalent to its boundedness from L1(μ) into L1,∞(μ). Moreover, applying this, together with a new Cotlar-type inequality, the authors show that if the Calderón–Zygmund operator T is bounded on L2(μ), then the corresponding maximal Calderón–Zygmund operator is bounded on Lp(μ) for all p ∈ (1, ∞), and bounded from L1(μ) into L1,∞ (μ). These results essentially improve the existing results.
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23

BOURDON, PAUL S. "BELLWETHERS FOR BOUNDEDNESS OF COMPOSITION OPERATORS ON WEIGHTED BANACH SPACES OF ANALYTIC FUNCTIONS." Journal of the Australian Mathematical Society 86, no. 3 (June 2009): 305–14. http://dx.doi.org/10.1017/s1446788708000475.

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AbstractLet 𝔻 be the open unit disc, let v:𝔻→(0,∞) be a typical weight, and let Hv∞ be the corresponding weighted Banach space consisting of analytic functions f on 𝔻 such that $\|f\|_v:=\sup _{z\in \mathbb {D}}v(z)\lvert f(z)\rvert \less \infty $. We call Hv∞ a typical-growth space. For ϕ a holomorphic self-map of 𝔻, let Cφ denote the composition operator induced by ϕ. We say that Cφ is a bellwether for boundedness of composition operators on typical-growth spaces if for each typical weight v, Cφ acts boundedly on Hv∞ only if all composition operators act boundedly on Hv∞. We show that a sufficient condition for Cφ to be a bellwether for boundedness is that ϕ have an angular derivative of modulus less than 1 at a point on ∂𝔻. We raise the question of whether this angular-derivative condition is also necessary for Cφ to be a bellwether for boundedness.
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24

Wang, Ke. "On characterizing boundedness of database schemes with bounded dependencies." Theoretical Computer Science 100, no. 2 (June 1992): 347–64. http://dx.doi.org/10.1016/0304-3975(92)90308-3.

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25

Li, Junfeng, and Haixia Yu. "The Oscillatory Hyper-Hilbert Transform Associated with Plane Curves." Canadian Mathematical Bulletin 61, no. 4 (November 20, 2018): 802–11. http://dx.doi.org/10.4153/cmb-2017-064-9.

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AbstractIn this paper, the bounded properties of oscillatory hyper-Hilbert transformalong certain plane curves γ(t),are studied. For general curves, these operators are bounded in L2() if β ≥ 3α. Their boundedness in Lp() is also obtained, whenever β > 3α and .
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26

Hu, Guoen, Yan Meng, and Dachun Yang. "Estimates for maximal singular integral operators in non-homogeneous spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136, no. 2 (April 2006): 351–64. http://dx.doi.org/10.1017/s0308210500004601.

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Under the assumption that the Radon measure μ on Rd satisfies only some growth condition, the authors prove that, for the maximal singular integral operator associated with a singular integral whose kernel only satisfies a standard size condition and the Hörmander condition, its boundedness in Lebesgue spaces Lp(μ) for any p ∈ (1, ∞) is equivalent to its boundedness from L1(μ) into weak L1(μ). As an application, the authors verify that if the truncated singular integral operators are bounded on L2(μ) uniformly, then the associated maximal singular integral operator is also bounded on Lp(μ) for any p ∈ (1, ∞).
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27

Villegas-Villalpando, Brian, Jorge E. Macías-Díaz, and Qin Sheng. "Solution Spaces Associated to Continuous or Numerical Models for Which Integrable Functions Are Bounded." Mathematics 10, no. 11 (June 6, 2022): 1936. http://dx.doi.org/10.3390/math10111936.

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Boundedness is an essential feature of the solutions for various mathematical and numerical models in the natural sciences, especially those systems in which linear or nonlinear preservation or stability features are fundamental. In those cases, the boundedness of the solutions outside a set of zero measures is not enough to guarantee that the solutions are physically relevant. In this note, we will establish a criterion for the boundedness of integrable solutions of general continuous and numerical systems. More precisely, we establish a characterization of those measures over arbitrary spaces for which real-valued integrable functions are necessarily bounded at every point of the domain. The main result states that the collection of measures for which all integrable functions are everywhere bounded are exactly all of those measures for which the infimum of the measures for nonempty sets is a positive extended real number.
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28

Wang, Yuchao, Huixuan Fu, and Sheng Liu. "Stochastic boundedness filter design for Markovian jump linear systems with guaranteed H∞ filtering performance." Transactions of the Institute of Measurement and Control 39, no. 11 (May 10, 2016): 1696–702. http://dx.doi.org/10.1177/0142331216645177.

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This paper concerns the filtering problem for a class of continuous-time Markovian jump linear systems, where the Markovian jump is supposed to frequently occur in some short time intervals. For this class of Markovian jump system, the boundedness of estimation error deserves our investigation. By introducing the concepts of stochastic boundedness with respect to a finite-time interval, an observer ensuring the estimation error bounded in a prescribed boundary is constructed and the result is extended to the [Formula: see text] filtering problem with norm bounded disturbances. By formulating an optimization algorithm, we derive the optimal [Formula: see text] stochastic boundedness filter with an an optimized convex combination of estimation error boundary and [Formula: see text] performance index. We propose a design algorithm for when parameter optimization is involved. Numerical design examples are given to illustrate the effectiveness of our results.
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29

Rötheli, Tobias F. "Oligopolistic Banks, Bounded Rationality, and the Credit Cycle." Economics Research International 2012 (July 19, 2012): 1–4. http://dx.doi.org/10.1155/2012/961316.

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This paper studies how boundedly rational default expectations affect the credit cycle. I propose a simple model of oligopolistic bank competition which serves to compare situations with just a portion of boundedly rational banks to situations where either all banks are rational or all banks are boundedly rational. When all banks are boundedly rational, the credit cycle is most amplified relative to the situation where all banks are rational. However, the amplifying effect of bounded rationality on the side of banks largely remains even when only a portion of banks are boundedly rational. Hence, the interest rate decisions of a minority of boundedly rational banks induce the more rational competitors to aggravate the credit cycle.
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30

Saneva, Katerina. "Application of the quasiasymptotic boundedness of distributions on wavelet transform." Publications de l'Institut Math?matique (Belgrade) 86, no. 100 (2009): 115–22. http://dx.doi.org/10.2298/pim0900115s.

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We analyze the boundedness of the wavelet transform Wg of the quasiasymptotically bounded distribution f. Assuming that the distribution f?S'(R) is quasiasymptotically or r-quasiasymptotically bounded at a point or at infinity related to a continuous and positive function, we obtain results for the localization of its wavelet transform.
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31

Karppinen, Arttu. "Fractional operators and their commutators on generalized Orlicz spaces." Opuscula Mathematica 42, no. 4 (2022): 583–604. http://dx.doi.org/10.7494/opmath.2022.42.4.583.

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In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces (also known as Musielak-Orlicz spaces) for fractional maximal functions and Riesz potentials. We prove their boundedness between generalized Orlicz spaces and give a characterization for functions of bounded mean oscillation.
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32

Sperry-Taylor, Ashton T. "Bounded Rationality in the Centipede Game." Episteme 8, no. 3 (October 2011): 262–80. http://dx.doi.org/10.3366/epi.2011.0021.

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AbstractNormative game theory unsatisfactorily explains rational behavior. Real people do not behave as predicted, and what is prescribed as rational behavior is normally unattainable in real-life. The problem is that current normative analysis does not account for people's cognitive limitations – their bounded rationality. However, this paper develops an account of bounded rationality that explains the rationality of more realistic behavior. I focus on the Centipede Game, in which boundedly rational players explore and test others' immediate behavior, until they can apply limited backward induction. The result is that the game has a solution in the form of a subjective Nash equilibrium, which boundedly rational players can possibly realize.
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33

Chen, Jiecheng, Dashan Fan, and Yiming Ying. "Certain Operators with Rough Singular Kernels." Canadian Journal of Mathematics 55, no. 3 (June 1, 2003): 504–32. http://dx.doi.org/10.4153/cjm-2003-021-4.

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AbstractWe study the singular integral operatordefined on all test functions f, where b is a bounded function, α ≥ 0, Ω (yʻ) is an integrable function on the unit sphere Sn-1 satisfying certain cancellation conditions. We prove that, for 1 < p < ∞, TΩ,α extends to a bounded operator from the Sobolev space to the Lebesgue space Lp with Ω being a distribution in the Hardy space Hq(Sn-1) where . The result extends some known results on the singular integral operators. As applications, we obtain the boundedness for TΩ,α on the Hardy spaces, as well as the boundedness for the truncated maximal operator .
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34

Shi, Lian, Yun Le, and Zhaohan Sheng. "Analysis of Price Stackelberg Duopoly Game with Bounded Rationality." Discrete Dynamics in Nature and Society 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/428568.

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The classical Stackelberg game is extended to boundedly rational price Stackelberg game, and the dynamic duopoly game model is described in detail. By using the theory of bifurcation of dynamical systems, the existence and stability of the equilibrium points of this model are studied. And some comparisons with Bertrand game with bounded rationality are also performed. Stable region, bifurcation diagram, The Largest Lyapunov exponent, strange attractor, and sensitive dependence on initial conditions are used to show complex dynamic behavior. The results of theoretical and numerical analysis show that the stability of the price Stackelberg duopoly game with boundedly rational players is only relevant to the speed of price adjustment of the leader and not relevant to the follower’s. This is different from the classical Cournot and Bertrand duopoly game with bounded rationality. And the speed of price adjustment of the boundedly rational leader has a destabilizing effect on this model.
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35

Sarfraz, Naqash, and Amjad Hussain. "Estimates for the Commutators of p-Adic Hausdorff Operator on Herz-Morrey Spaces." Mathematics 7, no. 2 (January 28, 2019): 127. http://dx.doi.org/10.3390/math7020127.

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In this paper, we investigate the boundedness of commutators of matrix Hausdorff operator on the weighted p-adic Herz-Morrey space with the symbol functions in weighted central bounded mean oscillations (BMO) and Lipschitz spaces. In addition, a result showing boundedness of Hausdorff operator on weighted p-adic λ -central BMO spaces is provided as well.
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36

KRIEGLER, CHRISTOPH, and CHRISTIAN LE MERDY. "TENSOR EXTENSION PROPERTIES OF C(K)-REPRESENTATIONS AND APPLICATIONS TO UNCONDITIONALITY." Journal of the Australian Mathematical Society 88, no. 2 (March 11, 2010): 205–30. http://dx.doi.org/10.1017/s1446788709000433.

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AbstractLet K be any compact set. The C*-algebra C(K) is nuclear and any bounded homomorphism from C(K) into B(H), the algebra of all bounded operators on some Hilbert space H, is automatically completely bounded. We prove extensions of these results to the Banach space setting, using the key concept ofR-boundedness. Then we apply these results to operators with a uniformly bounded H∞-calculus, as well as to unconditionality on Lp. We show that any unconditional basis on Lp ‘is’ an unconditional basis on L2 after an appropriate change of density.
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37

Banakh, Taras. "On index of total boundedness of (strictly) o-bounded groups." Topology and its Applications 120, no. 3 (May 2002): 427–39. http://dx.doi.org/10.1016/s0166-8641(01)00084-0.

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38

Wei, Mingquan, and Lanyin Sun. "Boundedness for the Modified Fractional Integral Operator from Mixed Morrey Spaces to the Bounded Mean Oscillation Space and Lipschitz Spaces." Journal of Function Spaces 2022 (February 7, 2022): 1–5. http://dx.doi.org/10.1155/2022/4924127.

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39

Si, Zengyan, and Qingying Xue. "Multilinear Square Functions with Kernels of Dini’s Type." Journal of Function Spaces 2016 (2016): 1–11. http://dx.doi.org/10.1155/2016/4876146.

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LetTbe a multilinear square function with a kernel satisfying Dini(1) condition and letT⁎be the corresponding multilinear maximal square function. In this paper, first, we showed thatTis bounded fromL1×⋯×L1toL1/m,∞.Secondly, we obtained that if eachpi>1, thenTandT⁎are bounded fromLp1(ω1)×⋯×Lpm(ωm)toLp(νω→)and if there ispi=1, thenTandT⁎are bounded fromLp1(ω1)×⋯×Lpm(ωm)toLp,∞(νω→), whereνω→=∏i=1mωip/pi.Furthermore, we established the weighted strong and weak type boundedness forTandT⁎on weighted Morrey type spaces, respectively.
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40

Shamoyan, Romi F., and Olivera R. Mihić. "On some extremal problems in Bergman spaces in weakly pseudoconvex domains." Communications in Mathematics 26, no. 2 (December 1, 2018): 83–97. http://dx.doi.org/10.2478/cm-2018-0006.

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AbstractWe consider and solve extremal problems in various bounded weakly pseudoconvex domains in ℂn based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_\alpha ^p$ in such type domains. We provide some new sharp theorems for distance function in Bergman spaces in bounded weakly pseudoconvex domains with natural additional condition on Bergman representation formula.
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41

Shamoyan, Romi F., and Olivera Mihić. "On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains inCn." Journal of Function Spaces 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/975434.

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Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains inCn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and minimal bounded homogeneous domains.
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42

Doucha, Michal. "Embeddings into monothetic groups." Journal of Group Theory 21, no. 4 (July 1, 2018): 579–81. http://dx.doi.org/10.1515/jgth-2017-0048.

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AbstractWe provide a very short elementary proof that every separable abelian group with a bounded invariant metric isometrically embeds into a monothetic group with a bounded invariant metric, in such a way that the result of Morris and Pestov that every separable abelian topological group embeds into a monothetic group is an immediate corollary. We show that the boundedness assumption cannot be dropped.
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43

Azodi, Peyman, Peyman Setoodeh, Alireza Khayatian, and Elham Jamalinia. "Stochastic boundedness of state trajectories of stable LTI systems in the presence of non-vanishing stochastic perturbation." IMA Journal of Mathematical Control and Information 37, no. 3 (August 27, 2019): 718–29. http://dx.doi.org/10.1093/imamci/dnz023.

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Abstract This paper studies stochastic boundedness of trajectories of a non-vanishing stochastically perturbed stable linear time-invariant system. First, two definitions on stochastic boundedness are presented, then, the boundedness is analyzed via Lyapunov theory. A theorem is proposed, which shows that under a condition on the Lipchitz constant of the perturbation kernel, the trajectories remain stochastically bounded, and the bounds are calculated. Also, the limiting behaviour of the trajectories is studied. At the end, an illustrative example is presented, which shows the effectiveness of the proposed theory.
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44

Bonilla, A., and F. Perez Gonzalez. "Radial growth and boundedness for Bloch functions." Bulletin of the Australian Mathematical Society 42, no. 1 (August 1990): 33–39. http://dx.doi.org/10.1017/s0004972700028124.

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Let B be the Bloch space of all those functions f holomorphic in the open unit disc D of the complex plane satisfying . We establish sufficient conditions for the boundedness of functions f belonging to B satisfying a certain uniform radial boundedness condition, and, by introducing a wide class of subsets E of ∂D, which we call negligible sets for boundedness, we show that if f ∈ B and there is a constant K > 0 such that , then f is bounded in D. Hence a significant extension of a theorem of Goolsby is obtained.
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45

Mouktonglang, Thanasak, and Suriyon Yimnet. "Finite-Time Boundedness of Linear Uncertain Switched Positive Time-Varying Delay Systems with Finite-Time Unbounded Subsystems and Exogenous Disturbance." Mathematics 10, no. 1 (December 25, 2021): 65. http://dx.doi.org/10.3390/math10010065.

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The problem of finite-time boundedness for a class of linear switched positive time-varying delay systems with interval uncertainties and exogenous disturbance is addressed. This characteristic research is that the studied systems include the finite-time bounded subsystems and finite-time unbounded subsystems. Both a slow mode-dependent average dwell time and a fast mode-dependent average dwell time switching techniques are utilized reasonably. And by applying a copositive Lyapunov-Krasovskii functional, novel delay-dependent sufficient criteria are derived to guarantee such systems to be finite-time bounded concerning the given parameters and designed switching signal. Furthermore, new finite-time boundedness criteria of the systems without interval uncertainties are also obtained. Finally, the efficiency of the theoretical results is presented in two illustrative examples.
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46

Zhu, Xiangling. "Generalized weighted composition operators from H∞ to the logarithmic Bloch space." Filomat 30, no. 14 (2016): 3867–74. http://dx.doi.org/10.2298/fil1614867z.

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In this paper, we give three different characterizations for the boundedness and compactness of generalized weighted composition operators from the space of bounded analytic function to the logarithmic Bloch space.
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47

BANDURA, A. "BOUNDEDNESS OF L-INDEX IN JOINT VARIABLES FOR SUM OF ENTIRE FUNCTIONS." Kragujevac Journal of Mathematics 46, no. 4 (August 2022): 595. http://dx.doi.org/10.46793/kgjmat2204.595b.

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In the paper, we present sufficient conditions of boundedness of L-index in joint variables for a sum of entire functions, where L : C n → R n + is a continuous function, R+ = (0, +∞). They are applicable to a very wide class of entire functions because for every entire function F in C n with bounded multiplicities of zero points there exists a positive continuous function L such that F has bounded L-index in joint variables. Our propositions are generalizations of Pugh’s result obtained for entire functions of one variable of bounded index.
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48

Ansari-Piri, E. "A class of factorable topological algebras." Proceedings of the Edinburgh Mathematical Society 33, no. 1 (February 1990): 53–59. http://dx.doi.org/10.1017/s001309150002887x.

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The famous Cohen factorization theorem, which says that every Banach algebra with bounded approximate identity factors, has already been generalized to locally convex algebras with what may be termed “uniformly bounded approximate identities”. Here we introduce a new notion, that of fundamentality generalizing both local boundedness and local convexity, and we show that a fundamental Fréchet algebra with uniformly bounded approximate identity factors. Fundamentality is a topological vector space property rather than an algebra property. We exhibit some non-fundamental topological vector space and give a necessary condition for Orlicz space to be fundamental.
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49

Binzar, Pater, and Nadaban. "A Study of Boundedness in Fuzzy Normed Linear Spaces." Symmetry 11, no. 7 (July 15, 2019): 923. http://dx.doi.org/10.3390/sym11070923.

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In the present paper some different types of boundedness in fuzzy normed linear spacesof type (X, N, ∗), where is an arbitrary t-norm, are considered. These boundedness concepts arevery general and some of them have no correspondent in the classical topological metrizable linearspaces. Properties of such bounded sets are given and we make a comparative study among thesetypes of boundedness. Among them there are various concepts concerning symmetrical properties ofthe studied objects arisen from the classical setting appropriate for this journal topics. We establishthe implications between them and illustrate by examples that these concepts are not similar.
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50

He, Suixin, and Shuangping Tao. "Boundedness of some operators on grand generalized Morrey spaces over non-homogeneous spaces." AIMS Mathematics 7, no. 1 (2021): 1000–1014. http://dx.doi.org/10.3934/math.2022060.

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<abstract><p>The aim of this paper is to obtain the boundedness of some operator on grand generalized Morrey space $ \mathcal{L}^{p), \varphi, \phi}_{\mu}(G) $ over non-homogeneous spaces, where $ G\subset $ $ \mathbb{R}^{n} $ is a bounded domain. Under assumption that functions $ \varphi $ and $ \phi $ satisfy certain conditions, the authors prove that the Hardy-Littlewood maximal operator, fractional integral operators and $ \theta $-type Calderón-Zygmund operators are bounded on the non-homogeneous grand generalized Morrey space $ \mathcal{L}^{p), \varphi, \phi}_{\mu}(G) $. Moreover, the boundedness of commutator $ [b, T^{G}_{\theta}] $ which is generated by $ \theta $-type Calderón-Zygmund operator $ T_{\theta} $ and $ b\in\mathrm{RBMO}(\mu) $ on spaces $ \mathcal{L}^{p), \varphi, \phi}_{\mu}(G) $ is also established.</p></abstract>
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