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2013 Weighted Vector-Valued Holomorphic Functions on Banach Spaces
Enrique Jordá
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/501592


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.


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Enrique Jordá. "Weighted Vector-Valued Holomorphic Functions on Banach Spaces." Abstr. Appl. Anal. 2013 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1300.46032
MathSciNet: MR3073438
Digital Object Identifier: 10.1155/2013/501592

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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