Compact Differences of Composition Operators on the Bergman Spaces Over the Ball

被引：0
|
作者：
Boo Rim Choe
Hyungwoon Koo
Inyoung Park
机构：
[1] Korea University,Department of Mathematics
[2] Seoul National University,BK21
来源：
Potential Analysis | 2014年 / 40卷
关键词：
Composition operator; Compact difference; Compact combination; Weighted Bergman space ; Ball; Primary 47B33; Secondary 32A35; 32A36;
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学科分类号：
摘要：
The compact differences of composition operators acting on the weighted L2-Bergman space over the unit disk is characterized by the angular derivative cancellation property and due to Moorhouse. In this paper we extend Moorhouse’s characterization, as well as some related results, to the ball and, at the same time, to the weighted Lp-Bergman space for the full range of p.
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页码：81 / 102
页数：21
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