Weighted Fréchet spaces of holomorphic functions
Volume 174 / 2006
Studia Mathematica 174 (2006), 255-275
MSC: Primary 46E10; Secondary 46A04, 46A11, 46A13, 46A25.
DOI: 10.4064/sm174-3-3
Abstract
This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^{\infty}$. We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.
