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Acta Mathematica Vietnamica

FRECHET-VALUED MEROMORPHIC FUNCTIONS ON COMPACT SETS IN Cn

icon-email NGUYEN VAN DONG

Abstract

Let F be a Frechet space. The main aim of this paper is to prove that [Fbor](LB) if and only if M(X,[Fbor])=Mω(X,[Fbor]) for every compact uniqueness subset X of Cn . We also prove that a compact set X in Cn is pluripolar if and only if X is unique and M(X,F)=Mω(X,F) for every Frechet space F(DN).