Weighted Vector-Valued Holomorphic Functions on Banach Spaces

被引：3

作者：

Jorda, Enrique ^{[1
]}

机构：

[1] Univ Politecn Valencia, IUMPA, Escuela Politecnica Super Alcoy, Alcoy 03801, Spain

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

COMPOSITION OPERATORS; LINEARIZATION; EXTENSION; MAPPINGS; CONTINUATION; BOUNDARIES;

D O I：

10.1155/2013/501592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 X, 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.

引用

页数：9

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