Weakly and Separately Holomorphic Functions on Compact Determining Polydiscs in (DFN)-Spaces
The aim of this paper is to find some necessary and sufficient conditions by means of the property ( DN ) of E and the property ( LB ∞ ) of F under which H w ( X , F ) = H ( X , F ) and H δ ( X , H b ( F *)) = H ( X , H b ( F *)) where E , F are Fréchet spaces and X is a compact determining polydisc...
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| Veröffentlicht in: | Complex analysis and operator theory 2013-10, Vol.7 (5), p.1437-1455 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The aim of this paper is to find some necessary and sufficient conditions by means of the property (
DN
) of
E
and the property (
LB
∞
) of
F
under which
H
w
(
X
,
F
) =
H
(
X
,
F
) and
H
δ
(
X
,
H
b
(
F
*)) =
H
(
X
,
H
b
(
F
*)) where
E
,
F
are Fréchet spaces and
X
is a compact determining polydisc in
E
*. At the same time, we also study the problem of the local Dirichlet representation of separately holomorphic functions. |
|---|---|
| ISSN: | 1661-8254 1661-8262 |
| DOI: | 10.1007/s11785-011-0194-6 |