Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces

Let H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function space F(p,q,s) to the weighted-type space Hμ∞ i...

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Main Author: Xiangling Zhu
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/290978
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author Xiangling Zhu
author_facet Xiangling Zhu
author_sort Xiangling Zhu
collection DOAJ
description Let H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function space F(p,q,s) to the weighted-type space Hμ∞ in the unit ball.
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spelling doaj-art-04f06f3357e1406dbc8a40899cda3f322025-08-20T02:03:00ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/290978290978Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ SpacesXiangling Zhu0Department of Mathematics, JiaYing University, Meizhou, GuangDong 514015, ChinaLet H(B) denote the space of all holomorphic functions on the unit ball B. Let u∈H(B) and φ be a holomorphic self-map of B. In this paper, we investigate the boundedness and compactness of the weighted composition operator uCφ from the general function space F(p,q,s) to the weighted-type space Hμ∞ in the unit ball.http://dx.doi.org/10.1155/2009/290978
spellingShingle Xiangling Zhu
Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
Abstract and Applied Analysis
title Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
title_full Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
title_fullStr Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
title_full_unstemmed Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
title_short Weighted Composition Operators from F(p,q,s) Spaces to Hμ∞ Spaces
title_sort weighted composition operators from f p q s spaces to hμ∞ spaces
url http://dx.doi.org/10.1155/2009/290978
work_keys_str_mv AT xianglingzhu weightedcompositionoperatorsfromfpqsspacestohmspaces