Abstract and Applied Analysis (Jan 2013)

Weighted Vector-Valued Holomorphic Functions on Banach Spaces

  • Enrique Jordá

DOI
https://doi.org/10.1155/2013/501592
Journal volume & issue
Vol. 2013

Abstract

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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.