Weighted spaces of holomorphic functions on Banach spaces
Studia Mathematica, Tome 138 (2000) no. 1, pp. 1-24
Cet article a éte moissonné depuis 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.
@article{10_4064_sm_138_1_1_24,
author = {D. Garc{\'\i}a and and },
title = {Weighted spaces of holomorphic functions on {Banach} spaces},
journal = {Studia Mathematica},
pages = {1--24},
year = {2000},
volume = {138},
number = {1},
doi = {10.4064/sm-138-1-1-24},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-138-1-1-24/}
}
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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