Remarks on hyponormal Toeplitz operators with nonharmonic symbols

Sumin Kim; Jongrak Lee

doi:10.1515/math-2023-0114

Remarks on hyponormal Toeplitz operators with nonharmonic symbols

Sumin Kim, Jongrak Lee

Department of Mathematics

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator T φ {T}_{\varphi } on the Bergman space A 2 (D) {A}^{2}\left({\mathbb{D}}). In particular, we consider the Toeplitz operator T φ {T}_{\varphi } with nonharmonic symbols φ \varphi under certain assumptions.

Original language	English
Journal	Open Mathematics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1515/math-2023-0114
State	Published - 1 Jan 2023

Keywords

Bergman space
Toeplitz operators
hyponormal operators
nonharmonic symbols

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10.1515/math-2023-0114

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abstract = "In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator T φ \{T\}\_\{\textbackslash{}varphi \} on the Bergman space A 2 (D) \{A\}\textasciicircum{}\{2\}\textbackslash{}left(\{\textbackslash{}mathbb\{D\}\}). In particular, we consider the Toeplitz operator T φ \{T\}\_\{\textbackslash{}varphi \} with nonharmonic symbols φ \textbackslash{}varphi under certain assumptions.",

keywords = "Bergman space, Toeplitz operators, hyponormal operators, nonharmonic symbols",

author = "Sumin Kim and Jongrak Lee",

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AU - Lee, Jongrak

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AB - In this article, we present some necessary or sufficient conditions for the hyponormality of Toeplitz operator T φ {T}_{\varphi } on the Bergman space A 2 (D) {A}^{2}\left({\mathbb{D}}). In particular, we consider the Toeplitz operator T φ {T}_{\varphi } with nonharmonic symbols φ \varphi under certain assumptions.

KW - Bergman space

KW - Toeplitz operators

KW - hyponormal operators

KW - nonharmonic symbols

UR - https://www.scopus.com/pages/publications/85171267322

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DO - 10.1515/math-2023-0114

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SN - 2391-5455

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JO - Open Mathematics

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Remarks on hyponormal Toeplitz operators with nonharmonic symbols

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