Results 11 to 20 of about 15,463 (203)
Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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$C^*$-algebras generated by truncated Toeplitz operators [PDF]
, 2012 We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz ...
Garcia, Stephan Ramon +2 more
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Unitary equivalence to a truncated Toeplitz operator: analytic symbols [PDF]
, 2011 Unlike Toeplitz operators on $H^2$, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Garcia, Stephan Ramon +2 more
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Analytic Berezin–Toeplitz operators [PDF]
Mathematische Zeitschrift, 2021 We introduce new tools for analytic microlocal analysis on K hler manifolds. As an application, we prove that the space of Berezin-Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error.
openaire +2 more sources
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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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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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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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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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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