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Acta Mathematica Vietnamica

ON ZALCMAN COMPLEX SPACES AND NOGUCHI-TYPE CONVERGENCE-EXTENSION THEOREMS FOR HOLOMORPHIC MAPPINGS INTO WEAKLY ZALCMAN COMPLEX SPACES

NGUYEN VAN TRAO, PHAM NGUYEN THU TRANG

Abstract

In this article, some Noguchi-type convergence-extension theorems for holomorphic mappings into weakly Zalcman complex subspaces for a complex space are given. Moreover, the tautness of unbounded domains of a complex space with non-compact automorphism groups is investigated from the viewpoint of the theory of Zalcman complex spaces.