Commuting Toeplitz operators on weighted harmonic Bergman spaces and hyponormality on the Bergman space of the punctured unit disk

被引：0

作者：

Sadraoui, Houcine ^{[1
]}

Halouani, Borhen ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

Bergman space; Toeplitz operator; hyponormality;

D O I：

10.3934/math.2024977

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first describe commuting Toeplitz operators with harmonic symbols on weighted harmonic Bergman spaces. Then, a su ffi cient condition for hyponormality on weighted Bergman spaces of the punctured unit disk, when the analytic part of the symbol is a monomial, is shown.

引用

页码：20043 / 20057

页数：15

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