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

页码：1349 / 1366

页数：18

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