Weighted Composition Operators between Hardy Spaces on the Unit Ball

被引：6
|
作者：
XU Hui-ming
Department of Mathematics
机构：
来源：
数学季刊 | 2004年 / 02期
关键词：
Hardy space; Bergman space; weighted composition operator; s-Carleson measure;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H1 to H1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.
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页码：111 / 119
页数：9
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