Weighted spaces of holomorphic functions on Banach spaces

García, D. ; Maestre, M. ; Rueda, P.

Studia Mathematica, Tome 141 (2000), p. 1-24 / Harvested from The Polish Digital Mathematics Library

Résumé

We deal with weighted spaces $HV_0(U)$ 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.

Détail

Publié le : 2000-01-01

Zbl 0960.46025

EUDML-ID : urn:eudml:doc:216687

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