On the composition operators on the Bloch space of several complex variables

被引：6
|
作者：
Zhou, ZH [1 ]
Che, RY
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[2] Nankai Univ, LiuHui Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2005年 / 48卷 / Suppl 1期
基金：
中国国家自然科学基金;
关键词：
Bloch space; bounded symmetric domains; composition operator; bergman metric;
D O I：
10.1007/BF02884723
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we first look upon some known results on the composition operator as bounded or compact on the Bloch-type space in polydisk and ball, and then give a sufficient and necessary condition for the composition operator to be compact on the Bloch space in a bounded symmetric domain.
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页码：392 / 399
页数：8
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