COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES

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 s...

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Veröffentlicht in:	Acta mathematica scientia 2011, Vol.31 (1), p.292-302
1. Verfasser:	徐丽芳邓方文
Format:	Artikel
Sprache:	eng
Schlagworte:	30D55 32A35 47B33 Analytic functions Composition operator Discs Disks Operators weighted Hardy space 加权Hardy空间单位圆盘和空间复合算子有界性解析函数
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Zusammenfassung:	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.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(11)60229-4