DIFFERENCE OF COMPOSITION OPERATORS ON THE BERGMAN SPACES OVER THE BALL

被引：2

作者：

Wang, Maofa ^{[1
]}

Guo, Xin ^{[1
]}

机构：

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

来源：

OPERATORS AND MATRICES | 2018年 / 12卷 / 04期

基金：

美国国家科学基金会;

关键词：

Bergman space; weighted composition operator; compact difference; WEIGHTED COMPOSITION OPERATORS; COMPACT DIFFERENCES; LINEAR-COMBINATIONS;

D O I：

10.7153/oam-2018-12-71

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper characterizes the compactness of a linear combination of three composition operators on A(alpha)(p)(B-N), the weighted Bergman space over the unit ball B-N in C-N. In this setting, we show that there is no cancellation property for the compactness of double difference of composition operators, which extends Koo-Wang's results over the unit disk in [13]. In addition, we investigate the compactness and essential norm estimate of the differences of weighted composition operators between weighted Bergman spaces.

引用

页码：1177 / 1197

页数：21

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