Results 11 to 20 of about 3,406 (215)
Commuting H-Toeplitz operators with quasihomogeneous symbols
AIMS Mathematics, 2022 In this paper, we characterize the commutativity of H-Toeplitz operators with quasihomogeneous symbols on the Bergman space, which is different from the case of Toeplitz operators with same symbols on the Bergman space.
Jinjin Liang +3 more
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Algebraic Properties of Toeplitz Operators on the Polydisk
Abstract and Applied Analysis, 2011 We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn. Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P).
Bo Zhang, Yanyue Shi, Yufeng Lu
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Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space
Journal of Function Spaces and Applications, 2013 We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be
Jingyu Yang, Liu Liu, Yufeng Lu
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Contractivity and expansivity of H-Toeplitz operators on the Bergman spaces
AIMS Mathematics, 2022 In this paper we consider the properties of H-Toeplitz operators $ B_{\varphi} $ on the Bergman space $ L^2_a(\Bbb D) $. We present some necessary and sufficient conditions for the contractive and expansive H-Toeplitz operators $ B_\varphi $ with various
Sumin Kim, Jongrak Lee
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Open Mathematics, 2021 In this paper, we establish some sharp maximal function estimates for certain Toeplitz-type operators associated with some fractional integral operators with general kernel.
Chen Dazhao, Huang Hui
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Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Comptes Rendus. Mathématique, 2023 In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
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Partially Isometric Toeplitz Operators [PDF]
Proceedings of the American Mathematical Society, 1965 It has been observed that the only Toeplitz operators that are isometric are those of the form To where q is an inner function on the unit disc (see e.g., [1, Theorem 8, Corollary 3]; the notation and terminology introduced there will be adhered to throughout this note).
Brown, Arlen, Douglas, R. G.
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Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces
Journal of Function Spaces, 2017 On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. We obtain characterizations of commuting Toeplitz and Hankel operators and essentially commuting (semicommuting) Toeplitz and Hankel ...
Qian Ding, Yong Chen, Yufeng Lu
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Toeplitz Operators on the Dirichlet Space of 𝔹n
Abstract and Applied Analysis, 2012 We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
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Toeplitz versus Hankel: semibounded operators [PDF]
Opuscula Mathematica, 2018 Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(
Dmitri R. Yafaev
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