Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI. Our main results generalize both cases of the unit ploydisc and the unit ball...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4732049 |
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| _version_ | 1832565695760564224 |
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| author | Jianbing Su Ziyi Zhang |
| author_facet | Jianbing Su Ziyi Zhang |
| author_sort | Jianbing Su |
| collection | DOAJ |
| description | Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI. Our main results generalize both cases of the unit ploydisc and the unit ball obtained by Li and Stević (Li 2007 and Li 2008). Firstly, we obtain two crucial inequalities on YI; furthermore, the boundedness and compactness of operator ψCϕ from the space H∞ of all bounded holomorphic functions to the α,m-Bloch space Bα,m on YI are investigated. |
| format | Article |
| id | doaj-art-0e98b89466764bd9ad5d489ce776f529 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0e98b89466764bd9ad5d489ce776f5292025-02-03T01:06:51ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4732049Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First TypeJianbing Su0Ziyi Zhang1School of Mathematics and StatisticsSchool of Mathematical SciencesLet YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI. Our main results generalize both cases of the unit ploydisc and the unit ball obtained by Li and Stević (Li 2007 and Li 2008). Firstly, we obtain two crucial inequalities on YI; furthermore, the boundedness and compactness of operator ψCϕ from the space H∞ of all bounded holomorphic functions to the α,m-Bloch space Bα,m on YI are investigated.http://dx.doi.org/10.1155/2022/4732049 |
| spellingShingle | Jianbing Su Ziyi Zhang Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type Journal of Function Spaces |
| title | Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type |
| title_full | Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type |
| title_fullStr | Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type |
| title_full_unstemmed | Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type |
| title_short | Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type |
| title_sort | weighted composition operators from h∞ to α m bloch space on cartan hartogs domain of the first type |
| url | http://dx.doi.org/10.1155/2022/4732049 |
| work_keys_str_mv | AT jianbingsu weightedcompositionoperatorsfromhtoamblochspaceoncartanhartogsdomainofthefirsttype AT ziyizhang weightedcompositionoperatorsfromhtoamblochspaceoncartanhartogsdomainofthefirsttype |