ON COMPACTNESS OF TOEPLITZ OPERATORS IN BERGMAN SPACES

被引：2

作者：

Taskinen, Jari ^{[1
]}

Virtanen, Jani ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math, FIN-00014 Helsinki, Finland

[2] Univ Reading, Dept Math, POB 220, Reading RG6 6AX, Berks, England

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2018年 / 59卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

Toeplitz operator; Bergman space; compact operator;

D O I：

10.7169/facm/1727

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider Toepliz operators with (locally) integrable symbols acting on Bergman spaces A(P) (1 < p < infinity) of the open unit disc of the complex plane. We give a characterization of compact Toeplitz operators with symbols in L-1 under a mild additional condition. Our result is new even in the Hilbert space setting of A(2), where it extends the wellknown characterization of compact Toeplitz operators with bounded symbols by Stroethoff and Zheng.

引用

页码：305 / 318

页数：14

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