Compact differences of weighted composition operators on the weighted Bergman spaces

被引：21

作者：

Wang, Maocai ^{[1
]}

Yao, Xingxing ^{[2
]}

Chen, Fen ^{[2
]}

机构：

[1] China Univ Geosci, Sch Comp, Wuhan 430074, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

weighted Bergman space; weighted composition operator; compact difference; ESSENTIAL NORM; HARDY;

D O I：

10.1186/s13660-016-1277-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which extends Moorhouse's results in (J. Funct. Anal. 219: 70-92, 2005).

引用

页数：14

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