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Weighted spaces of holomorphic functions on Banach spaces

D. GarcíaM. MaestreP. Rueda — 2000

Studia Mathematica

We deal with weighted spaces H V 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.

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