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ArticleOriginal scientific text

Title

Weighted spaces of holomorphic functions on Banach spaces

Authors 1, 1, 1

Affiliations

  1. Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), Spain.

Abstract

We deal with weighted spaces HV0(U) and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.

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Studia Mathematica
2000/138/1
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Pages:
1-24
Main language of publication
English
Received
1998-01-25
Accepted
1999-02-18
Published
2000
Exact and natural sciences