COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

被引：0
作者：
徐丽芳 [1 ,2 ]
邓方文 [1 ]
机构：
[1] Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences
[2] Graduate School of the Chinese Academy of Sciences
来源：
ActaMathematicaScientia | 2011年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Composition operator; weighted Hardy space;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
Let D be the unit disc and H(D) be the set of all analytic functions on D. In [2], C. Cowen defined a space H = f ∈ H(D) : f(z) =sum from k=o to ∞ ak(z + 1)k, z∈ D, ‖f‖2 = sum from k=o to ∞ |ak|24k < ∞In this article, the authors consider the similar Hardy spaces with arbitrary weights and discuss some properties of them. Boundedness and compactness of composition operators between such spaces are also studied.
引用
收藏
页码：292 / 302
页数：11
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