Weighted Vector‐Valued Holomorphic Functions on Banach Spaces

Enrique Jordá

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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 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.

Date: 2013
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https://doi.org/10.1155/2013/501592

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:501592

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