Results 11 to 20 of about 413 (185)

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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Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators

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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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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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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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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Algebraic Properties of Quasihomogeneous and Separately Quasihomogeneous Toeplitz Operators on the Pluriharmonic Bergman Space

Abstract and Applied Analysis, 2013
We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
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On the Commutativity of a Certain Class of Toeplitz Operators

Concrete Operators, 2014
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam, Randriamahaleo Fanilo, Zakariasy Lova   +2 more
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Toeplitz Operators with IMOs Symbols between Generalized Fock Spaces

Journal of Function Spaces, 2021
In this paper, we study the mapping properties of Toeplitz operators Tf associated with IMOs  symbols f acting between two generalized Fock spaces Fφp, where ...
Yiyuan Zhang, Guangfu Cao, Li He
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