Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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LOCALLY BOUNDED HOLOMORPHIC FUNCTIONS AND THE MIXED HARTOGS THEOREM

NGUYEN VAN KHUE, NGUYEN DINH LAN

pp. 241-258

Abstract

This paper deals with the conditions which allow the local boundedness of every holomorphic function taking value in Frechet space. These results are also applied to get different versions of the Hartogs theorem of mixed type.