Weighted spaces of holomorphic functions on Banach spaces
Tom 138 / 2000
Studia Mathematica 138 (2000), 1-24
DOI: 10.4064/sm-138-1-1-24
Streszczenie
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.
