Weighted Vector-Valued Holomorphic Functions on Banach Spaces
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach spac...
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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/10.1155/2013/501592 |
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| _version_ | 1832548691390496768 |
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| author | Enrique Jordá |
| author_facet | Enrique Jordá |
| author_sort | Enrique Jordá |
| collection | DOAJ |
| description | We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach space X, with values in another Banach space E, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions. |
| format | Article |
| id | doaj-art-99857796aebe4d329196b4b1d92cf996 |
| 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-99857796aebe4d329196b4b1d92cf9962025-02-03T06:13:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/501592501592Weighted Vector-Valued Holomorphic Functions on Banach SpacesEnrique Jordá0Escuela Politécnica Superior de Alcoy, IUMPA, Universitat Politècnica de València, Plaza Ferrándiz y Carbonell 1, 03801 Alcoy, SpainWe study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of an open and connected subset U of a Banach space X, with values in another Banach space E, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions.http://dx.doi.org/10.1155/2013/501592 |
| spellingShingle | Enrique Jordá Weighted Vector-Valued Holomorphic Functions on Banach Spaces Abstract and Applied Analysis |
| title | Weighted Vector-Valued Holomorphic Functions on Banach Spaces |
| title_full | Weighted Vector-Valued Holomorphic Functions on Banach Spaces |
| title_fullStr | Weighted Vector-Valued Holomorphic Functions on Banach Spaces |
| title_full_unstemmed | Weighted Vector-Valued Holomorphic Functions on Banach Spaces |
| title_short | Weighted Vector-Valued Holomorphic Functions on Banach Spaces |
| title_sort | weighted vector valued holomorphic functions on banach spaces |
| url | http://dx.doi.org/10.1155/2013/501592 |
| work_keys_str_mv | AT enriquejorda weightedvectorvaluedholomorphicfunctionsonbanachspaces |