Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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SEPARATELY HOLOMORPHIC FUNCTIONS ON COMPACT SETS

NGUYEN THAI SON

pp. 207-216

Abstract

The main aim of this paper is to give a characterization for $\mathcal H(Z)$ to have the property $(DN)$, where $Z$ is a Stein space, and to give conditions for a compact set $K$ in a locally irreducible Stein space not to be pluripolar in every irreducible branch of all neighbourhoods of $K$.