Le Mau Hai, Nguyen Van Khue and 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(E_b') and the existence of a non-pluripolar compact set in E_b'  under the assumption that E is a Frechet-Montel space.