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.
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页码：163 / 174
页数：12
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