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.
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页码：1177 / 1197
页数：21
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