Commuting Toeplitz operators and H-Toeplitz operators on Bergman space

被引：2
作者：
Ding, Qian [1 ]
机构：
[1] Dongbei Univ Finance & Econ, Sch Data Sci & Artificial Intelligence, Dalian 116025, Liaoning, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 01期
基金：
中国国家自然科学基金;
关键词：
H-Toeplitz operators; Toeplitz operators; Bergman space;
D O I：
10.3934/math.2024125
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols. For the general case, it seems very hard. As an extension to the study of Toeplitz operators on the Bergman space, we present the necessary and sufficient conditions of the commutativity of the H-Toeplitz operator and the Toeplitz operator with non-harmonic symbols.
引用
收藏
页码：2530 / 2548
页数：19
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