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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5581805 |
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| _version_ | 1832559736283725824 |
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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 |
| id | doaj-art-fbff7bb1e4684ed680d5a88f8b7881c9 |
| 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 |