A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

Sumin Kim; Jongrak Lee

doi:10.4134/BKMS.b230566

A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

Sumin Kim, Jongrak Lee

Department of Mathematics

Sungkyunkwan University

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

Abstract

In this paper we consider the sufficient condition for hyponormal Toeplitz operators T_φ with non-harmonic symbols (Formula Presented) with m_ℓ−n_ℓ = δ > 0 for all 1 ≤ ℓ ≤ k, and a_ℓ ϵ C on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators T_φ according to the positional relationship of the coefficients a_ℓ ’s.

Original language	English
Pages (from-to)	1019-1031
Number of pages	13
Journal	Bulletin of the Korean Mathematical Society
Volume	61
Issue number	4
DOIs	https://doi.org/10.4134/BKMS.b230566
State	Published - Jul 2024

Keywords

Bergman space
hyponormal operators
Toeplitz operators

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title = "A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE",

abstract = "In this paper we consider the sufficient condition for hyponormal Toeplitz operators Tφ with non-harmonic symbols (Formula Presented) with mℓ−nℓ = δ > 0 for all 1 ≤ ℓ ≤ k, and aℓ ϵ C on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators Tφ according to the positional relationship of the coefficients aℓ {\textquoteright}s.",

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

author = "Sumin Kim and Jongrak Lee",

note = "Publisher Copyright: {\textcopyright} 2024 Korean Mathematical Society.",

year = "2024",

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doi = "10.4134/BKMS.b230566",

language = "English",

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AU - Lee, Jongrak

PY - 2024/7

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N2 - In this paper we consider the sufficient condition for hyponormal Toeplitz operators Tφ with non-harmonic symbols (Formula Presented) with mℓ−nℓ = δ > 0 for all 1 ≤ ℓ ≤ k, and aℓ ϵ C on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators Tφ according to the positional relationship of the coefficients aℓ ’s.

AB - In this paper we consider the sufficient condition for hyponormal Toeplitz operators Tφ with non-harmonic symbols (Formula Presented) with mℓ−nℓ = δ > 0 for all 1 ≤ ℓ ≤ k, and aℓ ϵ C on the Bergman spaces. In particular, we will observe the characteristics of the hyponormality of the Toeplitz operators Tφ according to the positional relationship of the coefficients aℓ ’s.

KW - Bergman space

KW - hyponormal operators

KW - Toeplitz operators

UR - https://www.scopus.com/pages/publications/85201269263

U2 - 10.4134/BKMS.b230566

DO - 10.4134/BKMS.b230566

M3 - Article

AN - SCOPUS:85201269263

SN - 1015-8634

VL - 61

SP - 1019

EP - 1031

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 4

ER -

A SUFFICIENT CONDITION FOR HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE

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