Relevant bibliographies by topics / Atomic Hardy space

Academic literature on the topic 'Atomic Hardy space'

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Published: 9 March 2023
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Journal articles on the topic "Atomic Hardy space"

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Folch-Gabayet, Magali, Martha Guzmán-Partida, and Salvador Pérez-Esteva. "Lipschitz measures and vector-valued Hardy spaces." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 345–56. http://dx.doi.org/10.1155/s0161171201004549.

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We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual spaceX*, these spaces can be identified with the duals of the atomic vector-valued Hardy spacesHXp(ℝn),0<p<1. We also prove that all these measures have Lipschitz densities. This implies that for every real Banach spaceXand0<p<1, the dualHXp(ℝn)∗can be identified with a space of Lipschitz functions with values inX*.
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Chai, Yan, Yaoyao Han, and Kai Zhao. "Herz-Type Hardy Spaces Associated with Operators." Journal of Function Spaces 2018 (July 17, 2018): 1–10. http://dx.doi.org/10.1155/2018/1296837.

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Suppose L is a nonnegative, self-adjoint differential operator. In this paper, we introduce the Herz-type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz-type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz-type Hardy spaces associated with operator L. As applications, the boundedness of some singular integral operators on Herz-type Hardy spaces associated with operators is obtained.
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WANG, HUA. "BOUNDEDNESS OF SEVERAL INTEGRAL OPERATORS WITH BOUNDED VARIABLE KERNELS ON HARDY AND WEAK HARDY SPACES." International Journal of Mathematics 24, no. 12 (November 2013): 1350095. http://dx.doi.org/10.1142/s0129167x1350095x.

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In this paper, by using the atomic decomposition theory of Hardy space H1(ℝn) and weak Hardy space WH1(ℝn), we give the boundedness properties of some operators with variable kernels such as singular integral operators, fractional integrals and parametric Marcinkiewicz integrals on these spaces, under certain logarithmic type Lipschitz conditions assumed on the variable kernel Ω(x, z).
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HYTÖNEN, TUOMAS, DACHUN YANG, and DONGYONG YANG. "The Hardy space H1 on non-homogeneous metric spaces." Mathematical Proceedings of the Cambridge Philosophical Society 153, no. 1 (December 8, 2011): 9–31. http://dx.doi.org/10.1017/s0305004111000776.

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AbstractLet (, d, μ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrical doubling condition. We introduce the atomic Hardy space H1(μ) and prove that its dual space is the known space RBMO(μ) in this context. Using this duality, we establish a criterion for the boundedness of linear operators from H1(μ) to any Banach space. As an application of this criterion, we obtain the boundedness of Calderón–Zygmund operators from H1(μ) to L1(μ).
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Long, Long, Niyonkuru Silas, and Guangheng Xie. "Weak martingale Hardy-type spaces associated with quasi-Banach function lattice." Forum Mathematicum 34, no. 2 (January 23, 2022): 407–23. http://dx.doi.org/10.1515/forum-2021-0270.

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Abstract In this paper, the authors introduce weak martingale Hardy-type spaces associated with a quasi-Banach function lattice. The authors then establish the atomic characterizations of these weak martingale Hardy-type spaces. As applications, the authors give the sufficient conditions for the boundedness of σ-sublinear operators from weak martingale Hardy-type spaces to a quasi-Banach function lattice. Furthermore, the authors clarify the relation among different weak martingale Hardy-type spaces in the framework of a rearrangement-invariant quasi-Banach function space. Finally, the authors apply these results to the weighted Lorentz space and the generalized grand Lebesgue space.
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Berndt, Ryan. "Atomic Hardy space theory for unbounded singular integrals." Indiana University Mathematics Journal 55, no. 4 (2006): 1461–82. http://dx.doi.org/10.1512/iumj.2006.55.2649.

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Lou, Zengjian, and Shouzhi Yang. "AN ATOMIC DECOMPOSITION FOR THE HARDY-SOBOLEV SPACE." Taiwanese Journal of Mathematics 11, no. 4 (September 2007): 1167–76. http://dx.doi.org/10.11650/twjm/1500404810.

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KEMPPAINEN, MIKKO. "ON VECTOR-VALUED TENT SPACES AND HARDY SPACES ASSOCIATED WITH NON-NEGATIVE SELF-ADJOINT OPERATORS." Glasgow Mathematical Journal 58, no. 3 (July 21, 2015): 689–716. http://dx.doi.org/10.1017/s0017089515000415.

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AbstractIn this paper, we study Hardy spaces associated with non-negative self-adjoint operators and develop their vector-valued theory. The complex interpolation scales of vector-valued tent spaces and Hardy spaces are extended to the endpoint p=1. The holomorphic functional calculus of L is also shown to be bounded on the associated Hardy space H1L(X). These results, along with the atomic decomposition for the aforementioned space, rely on boundedness of certain integral operators on the tent space T1(X).
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Zhang, Yangyang, Dachun Yang, Wen Yuan, and Songbai Wang. "Real-variable characterizations of Orlicz-slice Hardy spaces." Analysis and Applications 17, no. 04 (June 10, 2019): 597–664. http://dx.doi.org/10.1142/s0219530518500318.

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In this paper, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by Auscher et al. Based on these Orlicz-slice spaces, the authors then introduce a new kind of Hardy-type spaces, the Orlicz-slice Hardy spaces, via the radial maximal functions. This new scale of Orlicz-slice Hardy spaces contains the variant of the Orlicz–Hardy space of Bonami and Feuto as well as the Hardy-amalgam space of de Paul Ablé and Feuto as special cases. Their characterizations via the atom, the molecule, various maximal functions, the Poisson integral and the Littlewood–Paley functions are also obtained. As an application of these characterizations, the authors establish their finite atomic characterizations, which further induce a description of their dual spaces and a criterion on the boundedness of sublinear operators from these Orlicz-slice Hardy spaces into a quasi-Banach space. Then, applying this criterion, the authors obtain the boundedness of [Formula: see text]-type Calderón–Zygmund operators on these Orlicz-slice Hardy spaces. All these results are new even for slice Hardy spaces and, moreover, for Hardy-amalgam spaces, the Littlewood–Paley function characterizations, the dual spaces and the boundedness of [Formula: see text]-type Calderón–Zygmund operators on these Hardy-type spaces are also new.
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Xia, Runlian, and Xiao Xiong. "Operator-valued local Hardy spaces." Journal of Operator Theory 82, no. 2 (September 15, 2019): 383–443. http://dx.doi.org/10.7900/jot.2018jun02.2191.

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This paper gives a systematic study of operator-valued local\break Hardy spaces, which are localizations of the Hardy spaces defined by Mei. We prove the h1-bmo duality and the hp-hq duality for any conjugate pair (p,q) when p∈(1,∞). We show that h1(Rd,M) and bmo(Rd,M) are also good endpoints of Lp(L∞(Rd)¯¯¯¯⊗M) for interpolation. We obtain the local version of Calder\'on--Zygmund theory, and then deduce that the Poisson kernel in our definition of the local Hardy norms can be replaced by any reasonable test function. Finally, we establish the atomic decomposition of the local Hardy space hc1(Rd,M).
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Dissertations / Theses on the topic "Atomic Hardy space"

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SALOGNI, FRANCESCA. "Harmonic Bergman spaces, Hardy-type spaces and harmonic analysis of a symmetric diffusion semigroup on R^n." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2013. http://hdl.handle.net/10281/41814.

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This thesis is divided into two parts, which deal with quite diverse subjects. The first part is, in turn, divided into two chapters. The first focuses on the development of new function spaces in $R^n$, called generalized Bergman spaces, and on their application to the Hardy space $H^1(R^n)$. The second is devoted to the theory of Bergman spaces on noncompact Riemannian manifolds which possess the doubling property and to its relationships with spaces of Hardy type. The latter are tailored to produce endpoint estimates for interesting operators, mainly related to the Laplace-Beltrami operator. The second part is devoted to the study of some interesting properties of the operator $A f = -1/2 \Delta f- x \cdot \nabla f \forall f \in C_c^\infty (R^n)$, which is essentially self-adjoint with respect to the measure $d \gamma_{-1}(x) = \pi^{n/2} \e^{|x|^2} d \lambda (x) \forall x \in R^n$, where $\lambda$ denotes the Lebesgue measure, and of the semigroup that $A$ generates.
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Souza, Osmar do Nascimento. "Espaços de Hardy e compacidade compensada." Universidade Federal de São Carlos, 2014. https://repositorio.ufscar.br/handle/ufscar/5906.

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Made available in DSpace on 2016-06-02T20:28:30Z (GMT). No. of bitstreams: 1 6065.pdf: 865751 bytes, checksum: 22466d8659637f2282b6be8b0adb5a33 (MD5) Previous issue date: 2014-03-13
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This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is a space of distributions when 0 < p < 1. When 0 < p ^ 1, the Hardy spaces offers a better treatment involving harmonic analysis than the Lp spaces. Among other results, we prove the maximal characterization theorem of Hp, which gives equivalent definitions of Hp, based on different maximal functions. We will proof the atomic decom¬position theorem for Hp, which allow decompose any distribution in Hp to be written as a sum of Hp-atoms (measurable functions that satisfy certain properties). In this step, we use the strongly the of Whitney decomposition and generalized Calderon-Zygmund decomposition. In the second part, as a application, we will prove that nonlinear quantities (such as the Jacobian, divergent and rotational defined in Rn) identied by the compensated compactness theory belong, under natural conditions, the Hardy spaces. To this end, in addition to the results seen in the first part, will use the results as Sobolev immersions theorems ans the inequality Sobolev-Poincare. Furthermore, we will use the tings and results related to the context of differential forms.
Esse trabalho está dividido em duas partes.Na primeira, nosso objetivo e apresentar os espaços de Hardy Hp(Rn), o qual coincide com os espaços Lp(Rn), quando p > 1, esta estritamente contido em Lp(Rn) se p = 1, e e um espaço de distribuições quando 0 < p < 1. Quando 0 < p < 1, os espaços de Hardy oferecem um melhor tratamento envolvendo analise harmônica do que os espaços Lp(Rn). Entre outros resultados, provamos o teorema da caracterização maximal de Hp, o qual fornece varias, porem equivalentes, formas de caracterizar Hp, com base em diferentes funcões maximais. Demonstramos o teorema da decomposição atômica para Hp, 0 < p < 1, que permite decompor qualquer distribuição em Hp como soma de Hp-atomos (funções mensuráveis que satisfazem certas propriedades). Nessa etapa, usamos fortemente a de- composição de Whitney e a decomposto de Calderon-Zygmund generalizada. Na segunda parte, como uma aplicação, provamos que quantidades não-lineares (como o jacobiano, divergente e o rotacional definidos em Rn), identificadas pela teoria compacidade compensada pertencem, em condições naturais, aos espaços de Hardy. Para tanto, além dos resultados visto na primeira parte, usamos outros como os Teoremas de Imersões de Sobolev, a desigualdade de Sobolev-Poincaré. Usamos ainda, definições e resultados referentes ao contexto de formas diferenciais.
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Yin, Zhi. "Espaces de Hardy en probabilités et analyse harmonique quantiques." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00838496.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique à valeurs operateurs. La thèse est composée des trois parties.Dans la première partie, on démontre la décomposition atomique des espaces de Hardy de martingales non commutatives. On identifie aussi les interpolés complexes et réels entre les versions conditionnelles des espaces de Hardy et BMO de martingales non commutatives.La seconde partie est consacrée à l'étude des espaces de Hardy à valeurs opérateursvia la méthode d'ondellettes. Cette approche est similaire à celle du cas des martingales non commutatives. On démontre que ces espaces de Hardy sont équivalents à ceux étudiés par Tao Mei. Par conséquent, on donne une base explicite complètement inconditionnelle pour l'espace de Hardy H1(R), muni d'une structure d'espace d'opérateurs naturelle. La troisième partie porte sur l'analyse harmonique sur le tore quantique. On établit les inégalités maximales pour diverses moyennes de sommation des séries de Fourier définies sur le tore quantique et obtient les théorèmes de convergence ponctuelle correspondant. En particulier, on obtient un analogue non commutative du théorème classique de Stein sur les moyennes de Bochner-Riesz. Ensuite, on démontre que les multiplicateurs de Fourier complètement bornés sur le tore quantique coïncident à ceux définis sur le tore classique. Finalement, on présente la théorie des espaces de Hardy et montre que ces espaces possèdent les propriétés des espaces de Hardy usuels. En particulier, on établit la dualité entre H1 et BMO.
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Xia, Runlian. "Les espaces de Hardy locaux à valeurs opératorielle et les applications sur les opérateurs pseudo-différentiels." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD084/document.

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Le but de cette thèse est d’étudier l’analyse sur les espaces hpc(Rd,M), la version locale des espaces de Hardy à valeurs opératorielles construits par Tao Mei. Les espaces de Hardy locaux à valeurs opératorielles sont définis par les g-fonctions de Littlewood-Paley tronquées et les fonctions intégrables de Lusin tronquées associées au noyau de Poisson. Nous développons la théorie de Calderón-Zygmund sur hpc(Rd,M); nous étudions la dualité hpcbmocq et l’interpolation. D’après ces résultats, nous obtenons la caractérisation générale de hpc(Rd,M) en remplaçant le noyau de Poisson par des fonctions tests raisonnables. Ceci joue un rôle important dans la décomposition atomique lisse de h1c(Rd,M). En même temps, nous étudions aussi les espaces de Triebel-Lizorkin inhomogènes à valeurs opératorielles Fpα,c(Rd,M). Comme dans le cas classique, ces espaces sont connectés avec des espaces de Hardy locaux à valeurs opératorielles par les potentiels de Bessel. Grâce à l’aide de la théorie de Calderón-Zygmund, nous obtenons les caractérisations de type LittlewoodPaley et de type Lusin par des noyaux plus généraux. Ces caractérisations nous permettent d’étudier différentes propriétés de Fpα,c(Rd,M), en particulier, la décomposition atomique lisse. Ceci est une extension et une amélioration de la décomposition atomique précédente de h1c(Rd,M). Comme une application importante de cette décomposition atomique lisse, nous montrons la bornitude d’opérateurs pseudo-différentiels avec les symboles réguliers à valeurs opératorielles sur des espaces de Triebel-Lizorkin Fpα,c(Rd,M), pour α ∈ R et 1 ≤ p ≤ ∞. Finalement, grâce à la transférence, nous obtenons aussi la Fpα,c-bornitude d’opérateurs pseudo-différentiels sur les tores quantiques
This thesis is devoted to the study of the analysis on the spaces hpc(Rd,M), the local version of operator-valued Hardy spaces studied by Tao Mei. The operator-valued local Hardy spaces are defined by the truncated Littlewood-Paley g-functions and the truncated Lusin square functions associated to the Poisson kernel. We develop the Calderón-Zygmund theory on hpc(Rd,M), and study the hpc-bmocq duality and the interpolation. Based on these results, we obtain general characterization of hpc(Rd,M) which states that the Poisson kernel can be replaced by any reasonable test function. This characterization plays an important role in the smooth atomic decomposition of h1c(Rd,M). We also investigate the operator-valued inhomogeneous Triebel-Lizorkin spaces Fpα,c(Rd,M). Like in the classical case, these spaces are connected with the operator-valued local Hardy spaces via Bessel potentials. Then by the aid of the Calderón-Zygmund theory, we obtain the Littlewood-Paley type and the Lusin type characterizations of Fpα,c(Rd,M) by more general kernels. These characterizations allow us to study various properties of Fpα,c(Rd,M), in particular, the smooth atomic decomposition. This is an extension and an improvement of the previous atomic decomposition of h1c(Rd,M). As an important application of this smooth atomic decomposition, we show the boundedness of pseudo-differential operators with regular operator-valued symbols on Triebel-Lizorkin spaces Fpα,c(Rd,M), for α ∈ R and 1 ≤ p ≤ ∞. Finally, by virtue of transference, we obtain the Fpα,c-boundedness of pseudo-differential operators on quantum tori
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Hong, Guixiang. "Quelques problèmes en analyse harmonique non commutative." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00979472.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique non commutative. Elle est constituée de trois parties. La première partie démontre l'analogue non commutatif de l'inégalité de John-Nirenberg et la décomposition atomique pour les martingales non commutatives. Ces résultats étendent et améliorent ceux qui existent déjà, et correspondent exactement à ceux que l'on connaît dans le cas classique. La deuxième partie est consacrée à l'étude des espaces de Hardy à valeurs opérateurs via la méthode d'ondelettes. Il est montré que les espaces de Hardy définis par ondelettes coïncident avec ceux définis par les fonctions carrées de Littlewood-Paley et Lusin. Cette approche est similaire à celle du cas des martingales non commutatives, mais l'utilisation des outils de martingales en analyse harmonique permet une démonstration plus rapide. Dans la troisième partie, nous nous tournons vers des applications de la théorie bien établie des espaces de Hardy, c'est-à-dire des opérateurs de Calderón-Zygmund (OCZ pour abréviation) associés à des noyaux à valeurs matricielles. On obtient des estimations de type faible (1, 1) pour des OCZ dyadiques parfaites et des shifts de Haar annulateurs associés à des noyaux non commutatifs, ainsi que des estimations de type H1 → L1 pour des OCZ arbitaires d'après une décomposition d'une fonction en ligne/colonne. En conjonction avec L∞ → BMO, nous établissons certaines estimations de type Lp. Cette approche s'applique aussi à des paraproduits et des transformées de martingales avec des symboles et coefficients non commutatifs respectivement.
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Yang, Tsiung-Huang, and 楊相宏. "The atomic decomposition of Hardy space associated with different homogeneities." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/33937891080099087307.

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碩士
國立中央大學
數學研究所
100
This is Professor Han Yongsheng, defined in the paper [HLLRS with anisotropic Hardy spaces in this article, we will use the discrete expressions to get a new Hardy spaces atomic decomposition.
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Books on the topic "Atomic Hardy space"

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Sandler, Corey. Official Sega Genesis and Game Gear strategies, 3RD Edition. New York: Bantam Books, 1992.

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Tom, Badgett, ed. Official Sega Genesis and Game Gear strategies, 2ND Edition. Toronto: Bantam Books, 1991.

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Sega Genesis Secrets, Volume 4. Rocklin, CA: Prima Publishing, 1993.

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Eddy, Andrew, and Donn Nauert. Sega Genesis Secrets, Volume 4 (Prima's Secrets of the Games). Prima Games, 1993.

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Official Sega Genesis and Game Gear Strategies, '94 Edition. New York, NY: Random House, Electronic Publishing, 1993.

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Book chapters on the topic "Atomic Hardy space"

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Yang, Dachun, Dongyong Yang, and Guoen Hu. "The Local Atomic Hardy Space h 1(μ)." In The Hardy Space H1 with Non-doubling Measures and Their Applications, 137–214. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00825-7_4.

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Alvarado, Ryan, and Marius Mitrea. "Atomic Theory of Hardy Spaces." In Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces, 161–264. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18132-5_5.

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Kawazoe, Takeshi. "Atomic Hardy spaces on semisimple Lie groups." In Non-Commutative Harmonic Analysis and Lie Groups, 189–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0073023.

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Forsman, Klas. "Atomic decompositions in Hardy spaces on bounded lipschitz domains." In Function Spaces and Applications, 206–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078876.

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Bansah, Justice Sam, and Benoît F. Sehba. "Martingale Hardy-Amalgam Spaces: Atomic Decompositions and Duality." In Operator Theory and Harmonic Analysis, 73–100. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-77493-6_5.

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Vallarino, Maria. "Atomic and Maximal Hardy Spaces on a Lie Group of Exponential Growth." In Trends in Harmonic Analysis, 409–24. Milano: Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2853-1_16.

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LOU, ZENGJIAN. "AN ATOMIC DECOMPOSITION FOR THE HARDY SPACE WITH CURL-FREE." In Wavelet Analysis and Active Media Technology, 959–63. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701695_0149.

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"Maximal Functions and Atoms." In Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28, 62–79. Princeton University Press, 2020. http://dx.doi.org/10.2307/j.ctv17db3q0.6.

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Scerri, Eric. "Element 43—Technetium." In A Tale of Seven Elements. Oxford University Press, 2013. http://dx.doi.org/10.1093/oso/9780195391312.003.0011.

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Element 43 (fig. 6.1) holds a special distinction among the seven elements of this book. It was one of just four elements that Mendeleev first predicted in his famous table and article of 1871. This fact is not so well known, as most accounts mention just the three famous predictions, namely empty spaces to which Mendeleev gave atomic weights of 44, 68, and 72. These three elements were all discovered within a period of fifteen years and named scandium, gallium, and germanium, respectively. But in the same early table, Mendeleev assigned an atomic weight to just one more empty space, which he placed below manganese. Mendeleev predicted that it would have an atomic weight of 100, although he changed it slightly to 99 in his book, The Principles of Chemistry . Given the success of Mendeleev’s first three predictions it is hardly surprising that strenuous efforts were made, in many parts of the world, to find the fourth element. Little did these early chemists know the problems they would encounter in trying to isolate this particularly rare and unstable element. In the early twentieth century, several claims were made for the discovery of the element. But these alleged elements, given various names such as davyum, illenium, lucium, and nipponium all turned out to be spurious. Then, in 1925, as mentioned in the last chapter, Otto Berg, Walter Noddack, and Ida Tacke (later Ida Noddack), claimed to have discovered not just one but two new members of group 7, which they named masurium and rhenium. Although their discovery of rhenium was accepted, their claim for the element directly below manganese has been bitterly disputed ever since. The official discovery of element 43 is accorded to Emilio Segrè and coworkers. Technetium, as they eventually called it, had to be synthesized rather than isolated from naturally occurring sources. It is also the only element to ever be “discovered” in Italy—in Palermo, Sicily, to be more precise. Segrè , who had been a visitor at the Berkeley cyclotron facility in California, was sent some molybdenum plates that had been irradiated for several months with a deuterium beam. Various chemical analyses by the Italian team revealed a new element, which could be extracted by boiling with sodium hydroxide that also contained a small amount of hydrogen peroxide.
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Fox, Michael H. "Nuclear Waste." In Why We Need Nuclear Power. Oxford University Press, 2014. http://dx.doi.org/10.1093/oso/9780199344574.003.0016.

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I gazed over the railing into the crystal clear cooling pool glowing with blue Cherenkov light caused by particulate radiation traveling faster than the speed of light in water. I can see a matrix of square objects through the water, filling more than half of the pool. It looks like you could take a quick dip into the water, like an indoor swimming pool, but that would not be a good idea! It is amazing to think that this pool, about the size of a ranch house, is holding all of the spent fuel from powering the Wolf Creek nuclear reactor in Burlington, Kansas, for 27 years. The reactor was just refueled about a month before my visit, so 80 of the used fuel rod assemblies were removed from the reactor and replaced with new ones. The used fuel rods were moved underwater into the cooling pool, joining the approximately 1,500 already there. There is sufficient space for the next 15 years of reactor operation. There is no danger from standing at the edge of this pool looking in, though the levels of radon tend to be somewhat elevated and may electrostatically attach to my hard hat, as indeed some did. What I am gazing at is what has stirred much of the controversy over nuclear power and is what must ultimately be dealt with if nuclear power is to grow in the future—the spent nuclear fuel waste associated with nuclear power. What is the hidden danger that I am staring at? Am I looking at the unleashed power of Hephaestus, the mythical Greek god of fi re and metallurgy? Or is this a more benign product of energy production that can be managed safely? What exactly is in this waste? And is it really waste, or is it a resource? To answer that question, we have to understand the fuel that reactors burn. The fuel rods that provide the heat from nuclear fission in a nuclear reactor contain fuel pellets of uranium, an element that has an atomic number of 92 (the number of protons and also the number of electrons).
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Conference papers on the topic "Atomic Hardy space"

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Ito, Kenchi, Masahiko Hada, and Kazumi Kawamoto. "Refractive-index change of LiNbO3 by H+–Li+ exchange." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.fjj6.

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The H+–Li+ exchange technique in LiNbO3 is useful for the preparation of optical waveguides because it creates a large increase in the extraordinary refractive index. We have considered the reason for this increase both experimentally and theoretically. The exchange rate x of H+ and Li+ is about 0.7, as measured by nuclear-reaction analysis with a high-energy 15N ion beam. Electron diffraction shows that the space group does not change, and x-ray diffraction shows that the lattice constant hardly changes. Measurements of the infrared-absorption spectrum suggest that H+ is located in the plane where oxygen atoms are packed most closely. Two optimized positions of H+ in the plane have been decided by calculating the total energy of clusters that include hydrogen and oxygen atoms by the coupled Hartree–Fock method. The calculated first-order polarizability of clusters that include hydrogen and oxygen atoms is much larger than that of clusters including lithium and oxygen atoms. As a result of the decomposition contributions of molecule orbitals, this seems to arise from the s orbital, which is the lowest unoccupied orbital in all of the clusters. It suggests that the small atomic radius of H+ is the reason for the refractive-index change.
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2

Ting, Seng Nguon, Hsien-Ching Lo, Donald Nedeau, Aaron Sinnott, and Felix Beaudoin. "Sub-20nm Device Voltage-Sensitive SRAM Characterization and Failure Analysis." In ISTFA 2018. ASM International, 2018. http://dx.doi.org/10.31399/asm.cp.istfa2018p0300.

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Abstract With rapid scaling of semiconductor devices, new and more complicated challenges emerge as technology development progresses. In SRAM yield learning vehicles, it is becoming increasingly difficult to differentiate the voltage-sensitive SRAM yield loss from the expected hard bit-cells failures. It can only be accomplished by extensively leveraging yield, layout analysis and fault localization in sub-micron devices. In this paper, we describe the successful debugging of the yield gap observed between the High Density and the High Performance bit-cells. The SRAM yield loss is observed to be strongly modulated by different active sizing between two pull up (PU) bit-cells. Failure analysis focused at the weak point vicinity successfully identified abnormal poly edge profile with systematic High k Dielectric shorts. Tight active space on High Density cells led to limitation of complete trench gap-fill creating void filled with gate material. Thanks to this knowledge, the process was optimized with “Skip Active Atomic Level Oxide Deposition” step improving trench gap-fill margin.
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Bienvenu, Meghyn, Quentin Manière, and Michaël Thomazo. "Cardinality Queries over DL-Lite Ontologies." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/248.

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Ontology-mediated query answering (OMQA) employs structured knowledge and automated reasoning in order to facilitate access to incomplete and possibly heterogeneous data. While most research on OMQA adopts (unions of) conjunctive queries as the query language, there has been recent interest in handling queries that involve counting. In this paper, we advance this line of research by investigating cardinality queries (which correspond to Boolean atomic counting queries) coupled with DL-Lite ontologies. Despite its apparent simplicity, we show that such an OMQA setting gives rise to rich and complex behaviour. While we prove that cardinality query answering is tractable (TC0) in data complexity when the ontology is formulated in DL-Lite-core, the problem becomes coNP-hard as soon as role inclusions are allowed. For DL-Lite-pos-H (which allows only positive axioms), we establish a P-coNP dichotomy and pinpoint the TC0 cases; for DL-Lite-core-H (allowing also negative axioms), we identify new sources of coNP complexity and also exhibit L-complete cases. Interestingly, and in contrast to related tractability results, we observe that the canonical model may not give the optimal count value in the tractable cases, which led us to develop an entirely new approach based upon exploring a space of strategies to determine the minimum possible number of query matches.
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Sreedurga, Gogulapati, Mayank Ratan Bhardwaj, and Yadati Narahari. "Maxmin Participatory Budgeting." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. California: International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/70.

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Participatory Budgeting (PB) is a popular voting method by which a limited budget is divided among a set of projects, based on the preferences of voters over the projects. PB is broadly categorised as divisible PB (if the projects are fractionally implementable) and indivisible PB (if the projects are atomic). Egalitarianism, an important objective in PB, has not received much attention in the context of indivisible PB. This paper addresses this gap through a detailed study of a natural egalitarian rule, Maxmin Participatory Budgeting (MPB), in the context of indivisible PB. Our study is in two parts: (1) computational (2) axiomatic. In the first part, we prove that MPB is computationally hard and give pseudo-polynomial time and polynomial-time algorithms when parameterized by certain well-motivated parameters. We propose an algorithm that achieves for MPB, additive approximation guarantees for restricted spaces of instances and empirically show that our algorithm in fact gives exact optimal solutions on real-world PB datasets. We also establish an upper bound on the approximation ratio achievable for MPB by the family of exhaustive strategy-proof PB algorithms. In the second part, we undertake an axiomatic study of the MPB rule by generalizing known axioms in the literature. Our study leads to the proposal of a new axiom, maximal coverage, which captures fairness aspects. We prove that MPB satisfies maximal coverage.
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