Acta mathematica scientia, Series B >
COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES
Received date: 2009-09-23
Revised date: 2010-04-17
Online published: 2011-01-20
Supported by
Supported in part by the National Natural Science Foundation of China (10901158)
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|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.
Key words： Composition operator; weighted Hardy space
XU Li-Fang , DENG Fang-Wen . COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES[J]. Acta mathematica scientia, Series B, 2011 , 31(1) : 292 -302 . DOI: 10.1016/S0252-9602(11)60229-4
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