COMMUTING AND SEMI-COMMUTING TOEPLITZ OPERATORS ON THE WEIGHTED HARMONIC BERGMAN SPACE

被引：0

作者：

Kong, Linghui ^{[1
]}

Qu, Shuang ^{[1
]}

Tong, Shan ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operators; weighted Bergman space; commuting; semi-commuting;

D O I：

10.7153/oam-2021-15-12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we show that two Toeplitz operators on the weighted harmonic Bergman space can commute only in the trivial case under certain conditions. The triviality here means a nonzero linear combination of their symbols is constant. Moreover, we give a characterization of semi-commuting Toeplitz operators with harmonic or analytic symbols.

引用

页码：163 / 174

页数：12

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