COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

doi:10.1016/S0252-9602(11)60229-4

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 292-302.doi: 10.1016/S0252-9602(11)60229-4

COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

徐丽芳^1,2|邓方文¹

1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China 2. Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

收稿日期:2009-09-23 修回日期:2010-04-17 出版日期:2011-01-20 发布日期:2011-01-20
基金资助:
Supported in part by the National Natural Science Foundation of China (10901158)

COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

XU Li-Fang^1,2, DENG Fang-Wen¹

1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China 2. Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

Received:2009-09-23 Revised:2010-04-17 Online:2011-01-20 Published:2011-01-20
Supported by:
Supported in part by the National Natural Science Foundation of China (10901158)

摘要/Abstract

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) =∑^∞_k=0ak(z + 1)^k, ∀z ∈ D, ||f||² =∑^∞_k=0|ak|²4^k < ∞}. 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.

关键词: Composition operator, weighted Hardy space

Abstract:

Key words: Composition operator, weighted Hardy space

中图分类号:

30D55

徐丽芳, 邓方文. COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES[J]. 数学物理学报(英文版), 2011, 31(1): 292-302.

XU Li-Fang, DENG Fang-Wen. COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES[J]. Acta mathematica scientia,Series B, 2011, 31(1): 292-302.

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COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

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