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Normal Families of meromorphic mappings of several complex variables into PN(C)

Published online by Cambridge University Press:  11 January 2016

Pham Ngoc Mai ,
Do Duc Thai  and
Pham Nguyen Thu Trang
Pham Ngoc Mai
Affiliation:
Department of Mathematics Hanoi University of Education Cau Giay, Hanoi Vietnam
Do Duc Thai
Affiliation:
Department of Mathematics Hanoi University of Education Cau Giay, Hanoi [email protected]
Pham Nguyen Thu Trang
Affiliation:
Department of Mathematics Hanoi University of Education Cau Giay, Hanoi Vietnam
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Abstract

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The first aim in this article is to give some sufficient conditions for a family of meromorphic mappings of a domain D in Cn into PN(C) omitting hypersurfaces to be meromorphically normal. Our result is a generalization of the results of Fujimoto and Tu. The second aim is to investigate extending holomorphic mappings into the compact complex space from the viewpoint of the theory of meromorphically normal families of meromorphic mappings.

Keywords

32A1032C1032H2032A1754C2054D3554C05
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 180 , 2005 , pp. 91 - 110
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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