Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces

Let 0<p<∞, let -2<q<∞, and let φ be an analytic self-map of 𝔻 and g∈H(𝔻). The boundedness and compactness of generalized composition operators (Cφgf)(z)=∫0z‍f'(φ(ξ))g(ξ)dξ, z∈𝔻, f∈H(𝔻), from ℬμ (ℬμ,0) spaces to QK,ω(p,q) spaces are investigated....

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Main Authors: Haiying Li, Tianshui Ma
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/897389
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author Haiying Li
Tianshui Ma
author_facet Haiying Li
Tianshui Ma
author_sort Haiying Li
collection DOAJ
description Let 0<p<∞, let -2<q<∞, and let φ be an analytic self-map of 𝔻 and g∈H(𝔻). The boundedness and compactness of generalized composition operators (Cφgf)(z)=∫0z‍f'(φ(ξ))g(ξ)dξ, z∈𝔻, f∈H(𝔻), from ℬμ (ℬμ,0) spaces to QK,ω(p,q) spaces are investigated.
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series Abstract and Applied Analysis
spelling doaj-art-88e0da8170224a8bb5d0abc6ef13fcc62025-08-20T02:09:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/897389897389Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) SpacesHaiying Li0Tianshui Ma1College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaCollege of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, ChinaLet 0<p<∞, let -2<q<∞, and let φ be an analytic self-map of 𝔻 and g∈H(𝔻). The boundedness and compactness of generalized composition operators (Cφgf)(z)=∫0z‍f'(φ(ξ))g(ξ)dξ, z∈𝔻, f∈H(𝔻), from ℬμ (ℬμ,0) spaces to QK,ω(p,q) spaces are investigated.http://dx.doi.org/10.1155/2014/897389
spellingShingle Haiying Li
Tianshui Ma
Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
Abstract and Applied Analysis
title Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
title_full Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
title_fullStr Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
title_full_unstemmed Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
title_short Generalized Composition Operators from ℬμ Spaces to QK,ω(p,q) Spaces
title_sort generalized composition operators from bμ spaces to qk ω p q spaces
url http://dx.doi.org/10.1155/2014/897389
work_keys_str_mv AT haiyingli generalizedcompositionoperatorsfrombmspacestoqkōpqspaces
AT tianshuima generalizedcompositionoperatorsfrombmspacestoqkōpqspaces