On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces

Let φ be an analytic self-map of the unit disk 𝔻, let H(𝔻) be the space of analytic functions on 𝔻, and let g∈H(𝔻). Recently, Li and Stević defined the following operator: Cφgf(z)=∫0zf′(&a...

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Main Authors: Yanyan Yu, Yongmin Liu
Format: Article
Language:English
Published: SpringerOpen 2009-02-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/780845
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author Yanyan Yu
Yongmin Liu
author_facet Yanyan Yu
Yongmin Liu
author_sort Yanyan Yu
collection DOAJ
description Let φ be an analytic self-map of the unit disk 𝔻, let H(𝔻) be the space of analytic functions on 𝔻, and let g∈H(𝔻). Recently, Li and Stević defined the following operator: Cφgf(z)=∫0zf′(φ(w))g(w)dw, on H(𝔻). The boundedness and compactness of the operator between two weighted Bloch-type spaces are investigated in this paper.
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spelling doaj.art-917fb6af62684294b2550a2511c886fa2022-12-22T03:20:46ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-02-01200810.1155/2008/780845On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type SpacesYanyan YuYongmin LiuLet φ be an analytic self-map of the unit disk 𝔻, let H(𝔻) be the space of analytic functions on 𝔻, and let g∈H(𝔻). Recently, Li and Stević defined the following operator: Cφgf(z)=∫0zf′(φ(w))g(w)dw, on H(𝔻). The boundedness and compactness of the operator between two weighted Bloch-type spaces are investigated in this paper.http://dx.doi.org/10.1155/2008/780845
spellingShingle Yanyan Yu
Yongmin Liu
On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
Journal of Inequalities and Applications
title On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
title_full On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
title_fullStr On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
title_full_unstemmed On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
title_short On a Li-Stević Integral-Type Operators between Different Weighted Bloch-Type Spaces
title_sort on a li stevi 263 integral type operators between different weighted bloch type spaces
url http://dx.doi.org/10.1155/2008/780845
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