Compact linear combinations of composition operators induced by linear fractional maps

被引：0
|
作者：
Boo Rim Choe
Hyungwoon Koo
Maofa Wang
Jongho Yang
机构：
[1] Korea University,Department of Mathematics
[2] Wuhan University,School of Mathematics and Statistics
来源：
Mathematische Zeitschrift | 2015年 / 280卷
关键词：
Linear combination of composition operators; Linear fractional map; Compact operator; Hardy space; Weighted Bergman space; Primary 47B33; Secondary 32A35; 32A36;
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学科分类号：
摘要：
It has been known that the difference of two composition operators induced by linear fractional self-maps of a ball cannot be nontrivially compact on either the Hardy space or any standard weighted Bergman space. In this paper we extend this result in two significant directions: the difference is extended to general linear combinations and inducing maps are extended to linear fractional maps taking a ball into another possibly of different dimension.
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页码：807 / 824
页数：17
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