Weighted Vector-Valued Holomorphic Functions on Banach Spaces

Enrique Jordá

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

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 defined in a subset of an open and connected subset of a Banach space , with values in another Banach space , 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:501592

DOI: 10.1155/2013/501592

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