Weakly and Separately Holomorphic Functions on Compact Determining Polydiscs in (DFN)-Spaces

被引：0

作者：

Thai Thuan Quang ^{[1
]}

机构：

[1] Quy Nhon Univ, Dept Math, Binh Dinh, Vietnam

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2013年 / 7卷 / 05期

关键词：

Holomorphic functions; Topological linear invariants; SPACES; GERMS;

D O I：

10.1007/s11785-011-0194-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (a)) of F under which H (w) (X, F) = H(X, F) and H (delta) (X, H (b) (F*)) = H(X, H (b) (F*)) where E, F are Fr,chet 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.

引用

页码：1437 / 1455

页数：19