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：
Acta Mathematica Scientia | 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.
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页码：292 / 302
页数：11
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