Weighted Fréchet spaces of holomorphic functions
Elke Wolf
Studia Mathematica, Tome 173 (2006), p. 255-275 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284473 
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     title = {Weighted Fr\'echet spaces of holomorphic functions},
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     volume = {173},
     year = {2006},
     pages = {255-275},
     zbl = {1104.46012},
     language = {en},
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Elke Wolf. Weighted Fréchet spaces of holomorphic functions. Studia Mathematica, Tome 173 (2006) pp. 255-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-3-3/