Geodesic
Weighted Fréchet spaces of holomorphic functions
Elke Wolf1
1 Mathematical Institute University of Paderborn D-33095 Paderborn, Germany
Studia Mathematica, Tome 174 (2006) no. 3, pp. 255-275

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

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.
DOI : 10.4064/sm174-3-3
Keywords: article deals weighted chet spaces holomorphic functions which defined countable intersections weighted banach spaces type infty characterize these chet spaces schwartz montel reflexive quasinormability analyzed latter restrictive assumptions needed obtain full characterization

Elke Wolf 1

1 Mathematical Institute University of Paderborn D-33095 Paderborn, Germany 
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Elke Wolf. Weighted Fréchet spaces of holomorphic functions. Studia Mathematica, Tome 174 (2006) no. 3, pp. 255-275. doi: 10.4064/sm174-3-3

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