Relevant bibliographies by topics / Carleson measure

Academic literature on the topic 'Carleson measure'

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Published: 4 June 2021
Last updated: 28 January 2023

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Journal articles on the topic "Carleson measure"

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Bernstein, S., and P. Cerejeiras. "Carleson measure and monogenic functions." Studia Mathematica 180, no. 1 (2007): 11–25. http://dx.doi.org/10.4064/sm180-1-2.

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Xiao, Jie. "The Qp Carleson measure problem." Advances in Mathematics 217, no. 5 (March 2008): 2075–88. http://dx.doi.org/10.1016/j.aim.2007.08.015.

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Heiming, Helmut J. "Carleson embeddings." Abstract and Applied Analysis 1, no. 2 (1996): 193–201. http://dx.doi.org/10.1155/s1085337596000097.

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In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specificL q(μ)-spaces, whereμis a Carleson measure on the complex unit disc. Characterizing absolutelyq-summing, absolutely continuous andq-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind.
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Wu, Xinfeng. "Weighted Carleson Measure Spaces Associated with Different Homogeneities." Canadian Journal of Mathematics 66, no. 6 (December 1, 2014): 1382–412. http://dx.doi.org/10.4153/cjm-2013-021-1.

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AbstractIn this paper, we introduce weighted Carleson measure spaces associated with different homogeneities and prove that these spaces are the dual spaces of weighted Hardy spaces studied in a forthcoming paper. As an application, we establish the boundedness of composition of two Calderón–Zygmund operators with different homogeneities on the weighted Carleson measure spaces; this, in particular, provides the weighted endpoint estimates for the operators studied by Phong–Stein.
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Liu, Junming, and Zengjian Lou. "Carleson measure for analytic Morrey spaces." Nonlinear Analysis 125 (September 2015): 423–32. http://dx.doi.org/10.1016/j.na.2015.05.016.

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Zengjian, Lou. "Carleson measure characterization of Bloch functions." Acta Mathematica Sinica 12, no. 2 (June 1996): 175–84. http://dx.doi.org/10.1007/bf02108160.

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LEE, MING-YI, and CHIN-CHENG LIN. "CARLESON MEASURE SPACES ASSOCIATED TO PARA-ACCRETIVE FUNCTIONS." Communications in Contemporary Mathematics 14, no. 01 (February 2012): 1250002. http://dx.doi.org/10.1142/s0219199712500022.

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To study the boundedness of the Cauchy integrals over Lipschitz curves, new Hardy spaces [Formula: see text] were introduced in [Y. Han, M.-Y. Lee and C.-C. Lin, Hardy spaces and the Tb theorem, J. Geom. Anal.14 (2004) 291–318], where b is a para-accretive function. In this paper, we define the Carleson measure spaces [Formula: see text] that generalize BMO, and show that [Formula: see text] is the dual space of [Formula: see text]. As an application, we give a Carleson measure characterization of BMOb.
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Zhao, Kai. "Carleson Measure and Tent Spaces on the Siegel Upper Half Space." Abstract and Applied Analysis 2012 (2012): 1–23. http://dx.doi.org/10.1155/2012/583156.

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The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed. Some characterized results and the dual of the fractional Carleson measures on the Siegel upper half space are studied. Therefore, the tent spaces on the Siegel upper half space in terms of the Choquet integrals are introduced and investigated. The atomic decomposition and the dual spaces of the tent spaces are obtained at the last.
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David, Guy, Linhan Li, and Svitlana Mayboroda. "Carleson Measure Estimates for the Green Function." Archive for Rational Mechanics and Analysis 243, no. 3 (January 28, 2022): 1525–63. http://dx.doi.org/10.1007/s00205-021-01746-0.

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Liu, Hsun-Wu, and Kunchuan Wang. "A Characterization of Weighted Carleson Measure Spaces." Taiwanese Journal of Mathematics 23, no. 1 (February 2019): 103–27. http://dx.doi.org/10.11650/tjm/180408.

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Dissertations / Theses on the topic "Carleson measure"

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Uraltsev, Gennady [Verfasser]. "Time-Frequency Analysis of the Variational Carleson Operator using outer-measure Lp spaces / Gennady Uraltsev." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1139048996/34.

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Charpentier, Stéphane. "Opérateurs de composition sur les espaces de fonctions holomorphes de plusieurs variables complexes : universalité dans les espaces de Banach et de Fréchet." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14104/document.

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Dans la première partie de ma thèse, il est démontré, dans les espaces de Banach et de Fréchet de suites, un résultat d'existence d'un sous-espace fermé de dimension infinie dont les éléments non-nuls sont des séries universelles.La deuxième partie est consacrée à l'étude des opérateurs de composition sur des espaces de fonctions holomorphes de plusieurs variables complexes. Dans un premier temps, le spectre et la dynamique des opérateurs de composition hyperboliques sur les espaces de Hardy de la boule sont décrits complètement.Dans un second temps, la continuité et la compacité des opérateurs de composition sur les espaces de Hardy-Orlicz et de Bergman-Orlicz de la boule sont caractérisées. On en déduit en particulier l'existence d'une classe de fonctions d'Orlicz définissant des espaces du type précédent sur lesquels tout opérateur de composition est continu
In the first part of my thesis, a result on the existence of a closed infinite-dimensional subspace, whose non-zero elements are universal series, is given in Banach and Fréchet spaces framework.The second part is devoted to the study of composition operators on spaces of several variables analytic functions. First, the spectrum and the dynamics of hyperbolic composition operators acting on Hardy spaces on the ball are completely described.Second, continuity and compactness of composition operators on Hardy-Orlicz and Bergman-Orlicz spaces on the ball are characterized. In particular, we deduce from the treatment of the continuity that there exists a class of Orlicz functions which define Hardy-Orlicz and Bergman-Orlicz spaces, on which every composition operator is bounded
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Qiu, James Zhijan. "Polynomial approximation and Carleson measures on a general domain and equivalence classes of subnormal operators." Diss., This resource online, 1993. http://scholar.lib.vt.edu/theses/available/etd-06062008-171825/.

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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission problem. This method uses a boundary integral operator, the rotation operator, which factorises the double layer potential operator. We prove spectral estimates for this rotation operator in finite energy norms using Hodge decompositions on weakly Lipschitz domains. To ensure that solutions to the Dirac transmission problem indeed solve Maxwell’s equations, we introduce an exterior/interior derivative operator acting in the trace space. By showing that this operator commutes with the two basic reflection operators, we are able to prove that the Maxwell transmission problem is well posed. We also prove well-posedness for a class of oblique Dirac transmission problems with a strongly Lipschitz interface, in the L_2 space on the interface. This is shown by employing the Rellich technique, which gives angular spectral estimates on the rotation operator.
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Le, Van An. "Petits espaces de Fock, petits espaces de Bergman et leurs opérateurs." Thesis, Aix-Marseille, 2019. http://theses.univ-amu.fr.lama.univ-amu.fr/191210_LE_604try554eejyoj865ovdfq987fxy_TH.pdf.

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Nous étudions les mesures de Carleson et les opérateurs de Toeplitz sur la classe des espaces de Bergman dite de petite taille, introduits récemment par Seip. On obtient une caractérisation des mesures de Carleson qui étend les résultats de Seip à partir du disque unité de mathbb C à la boule unité mathbb Bn de mathbb Cn. Nous utilisons cette caractérisation pour donner les conditions nécessaires et suffisantes à la continuité et à la compacité des opérateurs de Toeplitz. Enfin, nous étudions l’appartenance des opérateurs Toeplitz aux classes de Schatten d'ordre p pour 1
We study the Carleson measures and the Toeplitz operators on the class of the so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip's results from the unit disk of mathbb C to the unit ball mathbb Bn of mathbb Cn. We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten p classes membership of Toeplitz operators for 1
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Sun, Wa-Ming, and 孫維民. "A Note On Carleson Measure." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/85158084463590033726.

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碩士
國立清華大學
數學系
88
ABSTRACT In this article we prove that if B(z) is an interpolating Blaschke product with zeros {an} lying on the same radius ,then the measure u=|B''| dxdy is a Carleson measure.
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Tung, Peng-che, and 童鵬哲. "Calderón-Zygmund operators on weighted Carleson measure spaces." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/98796488166988966773.

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碩士
國立中央大學
數學系
103
We consider the Calderón-Zygmund operators on weighted Carleson measure spaces CMO^p_w(R^n). Our main purpose is to show that the Calderón-Zygmund operators T which satisfy T^∗1 = 0 and ε be the reqularity exponent of the kernel of T, then these operators are bounded on CMO^p_w (R^n) provided by n/(n+ε) < p ≤ 1 and w ∈ Ap(1+ε/n). Using the same argument above, we can also abtain the boundedness of one-parameter singular integral operator T on CMO^p_w for 0 < p < ∞ .
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Liu, Hsun-Wu, and 劉勳武. "A Characterization of weighted Triebel-Lizorkin spaces via Carleson measure." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/32453829225598845406.

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碩士
國立東華大學
應用數學系
99
In this article, we characterize the duals of weighted homogeneous Tribel-Lizorkin spaces. In order to characterize the dual spaces of weighted homogeneous Triebel- Lizorkin spaces, we need to give a weighted Carleson measure spaces CMOα,q p,w which were introduced by C.-C. Lin and K. Wang for unweighted version. Also we give an application to characterize the boundedness of Fourier-Haar multipliers.
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Cheng, Ya-Wen, and 鄭雅文. "A note on Carleson measure spaces associated to para-accretive functions." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/25820750368847166210.

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碩士
國立中央大學
數學系
104
In this paper, we study the boundedness of Calderon-Zygmund operator on the Carleson measure spaces CMO^p_b associated with para-accretive function b. Let T be a Calderon-Zygmund operator. If Tb = 0, then M_bT is bounded on CMO^p_b, for n/(n+(ε/2)), where ε is the regularity exponent of the kernel of T. Conversely, if M_bT is bounded on BMO_b = CMO^1_b, then Tb = 0.
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Chacon, Perez Gerardo Roman. "Carleson-type inequalitites in harmonically weighted Dirichlet spaces." 2010. http://trace.tennessee.edu/utk_graddiss/681.

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Carleson measures for Harmonically Weighted Dirichlet Spaces are characterized. It is shown a version of a maximal inequality for these spaces. Also, Interpolating Sequences and Closed-Range Composition Operators are studied in this context.
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Books on the topic "Carleson measure"

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Hodgson, Phil. Implications of codeine administration after tonsillectomy. Edited by John Phillips and Sally Erskine. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198834281.003.0091.

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This chapter discusses Kelly, Rieder, Van den Anker, Malkin, Ross, Neely, Carleton, Hayden, Madadi, and Koren’s paper on the implications of codeine administration after tonsillectomy including the design of the study (outcome measures, results, conclusions, and a critique).
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Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls (Memoirs of the American Mathematical Society,). American Mathematical Society, 2006.

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Book chapters on the topic "Carleson measure"

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Yao, Bi-yun. "Carleson measure and BMO interpolation." In Lecture Notes in Mathematics, 362–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081270.

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Verbitsky, I. E. "A Dimension-free Carleson Measure Inequality." In Complex Analysis, Operators, and Related Topics, 393–98. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8378-8_31.

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Weiss, George. "A powerful generalization of the Carleson measure theorem?" In Open Problems in Mathematical Systems and Control Theory, 267–72. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0807-8_49.

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Li, Chun. "Characterization of BMO p sq - functions by generalized Carleson measure." In Harmonic Analysis, 84–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0087760.

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Wulan, Hasi, and Kehe Zhu. "K-Carleson Measures." In Mobius Invariant QK Spaces, 81–117. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58287-0_4.

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Grafakos, Loukas. "BMO and Carleson Measures." In Modern Fourier Analysis, 1–51. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-09434-2_2.

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Grafakos, Loukas. "BMO and Carleson Measures." In Modern Fourier Analysis, 153–207. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-1230-8_3.

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Abate, Marco. "Carleson Measures and Toeplitz Operators." In Lecture Notes in Mathematics, 141–57. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65837-7_6.

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Saracco, Alberto. "The Corona Problem, Carleson Measures, and Applications." In Mathematical Analysis and Applications, 709–30. Hoboken, NJ, USA: John Wiley & Sons, Inc, 2018. http://dx.doi.org/10.1002/9781119414421.ch20.

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Jevtić, Miroljub, Dragan Vukotić, and Miloš Arsenović. "Carleson Measures, Mean Oscillation Spaces and Duality." In Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces, 91–106. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45644-7_5.

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Conference papers on the topic "Carleson measure"

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GULIYEV, VAGIF S., and ZHIJIAN WU. "STRONG-TYPE ESTIMATES AND CARLESON MEASURES FOR WEIGHTED BESOV-LIPSCHITZ SPACES." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0007.

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