从加权Bergman Nevanlinna空间到Zygmund空间的微分前复合算子

Asian Journal of Current Engineering and Maths Pub Date : 2014-07-28 DOI:10.15520/ajcem.2014.vol3.iss4.2.pp42-47

Pawan Kumar, R. Chugh, Jagjeet

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引用次数: 0

摘要

设h为复平面上开单位盘D上的解析映射，使得h (D)∧D。复合算子DC h:由DC h (f) =(fo h)’定义。本文研究了从加权Bergman Nevanlinna空间到Zygmund空间的复合算子DC h的有界性和紧性。科目分类:初级47B33、46E10;二次30 d55

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Composition Operator Preceeding By Differentiation From Weighted Bergman Nevanlinna Spaces To Zygmund Spaces

Let ɸ be an analytic map on the open unit disk D in the complex plane such that ɸ (D)⊂ D. The composition operator DCɸ : is deﬁned by DC ɸ ( f ) =( fo ɸ ) ′ In this paper, the boundedness and compactness of the composition operator DC ɸ from the weighted Bergman Nevanlinna spaces to Zygmund spaces are investigated. Subject Classiﬁcation: Primary 47B33,46E10; secondary 30D55

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Asian Journal of Current Engineering and Maths

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