Weighted spaces of holomorphic functions on Banach spaces
Studia Mathematica, Tome 138 (2000) no. 1, pp. 1-24

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-138-1-1-24

D. García 1 ;  1 ;  1

1
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D. García;  ;  . Weighted spaces of holomorphic functions on Banach spaces. Studia Mathematica, Tome 138 (2000) no. 1, pp. 1-24. doi: 10.4064/sm-138-1-1-24

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