On Fredholm properties of Toeplitz operators in Bergman spaces

被引：1

作者：

Taskinen, Jari ^{[1
]}

Virtanen, Jani ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, POB 68, FIN-00014 Helsinki, Finland

[2] Univ Reading, Dept Math, Reading, Berks, England

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 16期

基金：

英国工程与自然科学研究理事会;

关键词：

Bergman space; compact operator; Fredholm operator; Hankel operator; Toeplitz operator; HANKEL-OPERATORS;

D O I：

10.1002/mma.6268

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Toepliz operators with integrable symbols acting on Bergman spaces A(p), 1 < p < infinity, of the open unit disc of the complex plane. We combine some of the best known results on compactness of Toeplitz and Hankel operators in order to generalize the results on Fredholm properties of Toeplitz operators. We pay special attention to some concrete examples.

引用

页码：9405 / 9415

页数：11

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