Derivative Operators of Slant Toeplitz Operators on Harmonic Bergman Spaces

本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念,并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。In this paper, the concepts of slant Toeplitz operators and its derivative operators on harmonic Bergman Spaces are given, and the integral representation, boundness and compactness of the derivative operators are introduced. The boundedness and compactness provide a method for the subsequent studies of boundedness and compactness of slant Toeplitz operators.

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Publication Details

Journal
Pure Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/pm.2025.155153
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Derivative Operators of Slant Toeplitz Operators on Harmonic Bergman Spaces

力华 查
Pure Mathematics
Holomorphic and Operator Theory
article

Derivative Operators of Slant Toeplitz Operators on Harmonic Bergman Spaces

力华 查
article en

Abstract

本文给出调和Bergman空间上的斜Toeplitz算子和其衍生算子的概念,并介绍了衍生算子的积分表示、有界性和紧性。此有界性和紧性为后续研究斜Toeplitz算子的有界性和紧性提供了研究方法。In this paper, the concepts of slant Toeplitz operators and its derivative operators on harmonic Bergman Spaces are given, and the integral representation, boundness and compactness of the derivative operators are introduced. The boundedness and compactness provide a method for the subsequent studies of boundedness and compactness of slant Toeplitz operators.

Pure MathematicsVol. 15(05)
Openalex Percentile: Top 84%
Holomorphic and Operator Theory
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Derivative Operators of Slant Toeplitz Operators on Harmonic Bergman Spaces — 力华 查 · Pure Mathematics (2025) | TGRS Research Map | TGRS