Normality criteria for families of holomorphic mappings of several complexvariables into P-N (C)

Authors
Tu, ZH
Citation
Zh. Tu, Normality criteria for families of holomorphic mappings of several complexvariables into P-N (C), P AM MATH S, 127(4), 1999, pp. 1039-1049
Citations number
23
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
4
Year of publication
1999
Pages
1039 - 1049
Database
ISI
SICI code
0002-9939(199904)127:4<1039:NCFFOH>2.0.ZU;2-5
Abstract
By applying the heuristic principle in several complex variables obtained b y Aladro and Krantz, we shall prove some normality criteria for families of holomorphic mappings of several complex variables into P-N(C), the complex N-dimensional projective space, related to Green's and Nochka's Picard typ e theorems. The equivalence of normality to being uniformly Montel at a poi nt will be obtained. Some examples will be given to complement our theory i n this paper.