Essential Norm of Toeplitz Operators on Dirichlet-Type Spaces

被引：0
|
作者：
Jianjun CHEN [1 ,2 ]
Jiesheng XIAO [3 ,2 ]
机构：
[1] School of Mathematics and Statistics, Zhaoqing University
[2] School of Mathematics, Sun Yat-sen University
[3] Nanhu College, Jiaxing University
来源：
Journal of Mathematical Research with Applications | 2021年 / 41卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper, we show that, on the Dirichlet-type space of unit disk, the essential norm of a noncompact Toeplitz operator equals its distance to the set of compact Toeplitz operators, and moreover, this distance is realized by infinitely many compact Toeplitz operators,which is analogous to the case of the weighted Bergman space.
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页码：393 / 400
页数：8
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