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Acta Mathematica Vietnamica

THE PROPERTIES (Ω­) AND (DN) OF SPACES OF ENTIRE FUNCTIONS OF BOUNDED TYPE

LE MAU HAI, NGUYEN VAN KHUE, NGUYEN HA THANH

Abstract

The first goal of this paper is to establish properties (Ω­) and (DN) for spaces of entire functions of bounded type on (DF)-spaces. Next we show the connection between the property (DN) fulfilled on H(Eb) and the existence of a non-pluripolar compact set in Eb under the assumption that E is a Frechet-Montel space.