Weighted Fréchet spaces of holomorphic functions

Elke Wolf. "Weighted Fréchet spaces of holomorphic functions." Studia Mathematica 174.3 (2006): 255-275. <http://eudml.org/doc/284473>.

@article{ElkeWolf2006,
abstract = {This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^\{∞\}$. 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.},
author = {Elke Wolf},
journal = {Studia Mathematica},
keywords = {Weighted Frechet spaces of holomorphic functions; Schwartz spaces; Montel spaces; reflexive spaces; quasinormable spaces},
language = {eng},
number = {3},
pages = {255-275},
title = {Weighted Fréchet spaces of holomorphic functions},
url = {http://eudml.org/doc/284473},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Elke Wolf
TI - Weighted Fréchet spaces of holomorphic functions
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 3
SP - 255
EP - 275
AB - This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type $H^{∞}$. 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.
LA - eng
KW - Weighted Frechet spaces of holomorphic functions; Schwartz spaces; Montel spaces; reflexive spaces; quasinormable spaces
UR - http://eudml.org/doc/284473
ER -