Toeplitz Products on Bergman-Sobolev Spaces over the Unit Polydisk

被引：0
|
作者：
He, Li [1 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2021年 / 37卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Bergman-Sobolev space; Toeplitz products; compactness; essential norm; Fredholmness; ESSENTIAL NORM; FREDHOLM PROPERTIES; OPERATORS;
D O I：
10.1007/s10114-021-0539-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk. We also calculate the essential norm of finite sums of finite Toeplitz products on these spaces.
引用
收藏
页码：1349 / 1366
页数：18
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