Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces

This article examines the norms of composition operators from the weighted harmonic Bloch space BHλ,0<λ<∞ to the weighted harmonic Zygmund space ZHβ,0<β<∞. The critical norm is on the open unit disk. We first give necessary and sufficient conditions where the composition operator between...

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Main Authors: Munirah Aljuaid, M. A. Bakhit
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2024/5581805
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author Munirah Aljuaid
M. A. Bakhit
author_facet Munirah Aljuaid
M. A. Bakhit
author_sort Munirah Aljuaid
collection DOAJ
description This article examines the norms of composition operators from the weighted harmonic Bloch space BHλ,0<λ<∞ to the weighted harmonic Zygmund space ZHβ,0<β<∞. The critical norm is on the open unit disk. We first give necessary and sufficient conditions where the composition operator between BHλ and ZHβ is bounded. Secondly, we will study the compactness case of the composition operator between BHλ and ZHβ. Finally, we will estimate the essential norms of the composition operator between BHλ and ZHβ.
format Article
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institution Kabale University
issn 2314-8888
language English
publishDate 2024-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-fbff7bb1e4684ed680d5a88f8b7881c92025-02-03T01:29:26ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5581805Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund SpacesMunirah Aljuaid0M. A. Bakhit1Department of MathematicsDepartment of MathematicsThis article examines the norms of composition operators from the weighted harmonic Bloch space BHλ,0<λ<∞ to the weighted harmonic Zygmund space ZHβ,0<β<∞. The critical norm is on the open unit disk. We first give necessary and sufficient conditions where the composition operator between BHλ and ZHβ is bounded. Secondly, we will study the compactness case of the composition operator between BHλ and ZHβ. Finally, we will estimate the essential norms of the composition operator between BHλ and ZHβ.http://dx.doi.org/10.1155/2024/5581805
spellingShingle Munirah Aljuaid
M. A. Bakhit
Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
Journal of Function Spaces
title Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
title_full Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
title_fullStr Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
title_full_unstemmed Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
title_short Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces
title_sort norms of composition operators from weighted harmonic bloch spaces into weighted harmonic zygmund spaces
url http://dx.doi.org/10.1155/2024/5581805
work_keys_str_mv AT munirahaljuaid normsofcompositionoperatorsfromweightedharmonicblochspacesintoweightedharmoniczygmundspaces
AT mabakhit normsofcompositionoperatorsfromweightedharmonicblochspacesintoweightedharmoniczygmundspaces