Invertibility of Bergman Toeplitz operators with harmonic polynomial symbols

被引：0

作者：

Nanxing Guan ^{[1
]}

Xianfeng Zhao ^{[2
]}

机构：

[1] School of Mathematics and Statistics, Chuxiong Normal University

[2] College of Mathematics and Statistics, Chongqing University

来源：

ScienceChina(Mathematics) | 2020年 / 63卷 / 05期

关键词：

Bergman space; Toeplitz operator; harmonic polynomial symbol; invertibility;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Let p be an analytic polynomial on the unit disk. We obtain a necessary and sufficient condition for Toeplitz operators with the symbol z + p to be invertible on the Bergman space when all coefficients of p are real numbers. Furthermore, we establish several necessary and sufficient, easy-to-check conditions for Toeplitz operators with the symbol z + p to be invertible on the Bergman space when some coefficients of p are complex numbers.

引用

页码：965 / 968+970 +970-978

页数：13

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