Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions
We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighte...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/608578 |
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| _version_ | 1832554872799494144 |
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| author | Cui Chen Ren-Yu Chen Ze-Hua Zhou |
| author_facet | Cui Chen Ren-Yu Chen Ze-Hua Zhou |
| author_sort | Cui Chen |
| collection | DOAJ |
| description | We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained. |
| format | Article |
| id | doaj-art-f546e4fa97c94751bf013352d97ac0b5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f546e4fa97c94751bf013352d97ac0b52025-02-03T05:50:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/608578608578Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic FunctionsCui Chen0Ren-Yu Chen1Ze-Hua Zhou2Department of Mathematics, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, Tianjin University, Tianjin 300072, ChinaWe characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained.http://dx.doi.org/10.1155/2013/608578 |
| spellingShingle | Cui Chen Ren-Yu Chen Ze-Hua Zhou Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions Abstract and Applied Analysis |
| title | Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions |
| title_full | Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions |
| title_fullStr | Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions |
| title_full_unstemmed | Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions |
| title_short | Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions |
| title_sort | differences of composition operators followed by differentiation between weighted banach spaces of holomorphic functions |
| url | http://dx.doi.org/10.1155/2013/608578 |
| work_keys_str_mv | AT cuichen differencesofcompositionoperatorsfollowedbydifferentiationbetweenweightedbanachspacesofholomorphicfunctions AT renyuchen differencesofcompositionoperatorsfollowedbydifferentiationbetweenweightedbanachspacesofholomorphicfunctions AT zehuazhou differencesofcompositionoperatorsfollowedbydifferentiationbetweenweightedbanachspacesofholomorphicfunctions |