NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS INTO COMPLEX PROJECTIVE SPACE CONCERNING SHARED HYPERPLANES

被引：14

作者：

Yang, Liu ^{[1
]}

Fang, Caiyun ^{[2
]}

Pang, Xuecheng ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 272卷 / 01期

基金：

中国国家自然科学基金;

关键词：

normal family; holomorphic mapping; complex projective space; MEROMORPHIC FUNCTIONS;

D O I：

10.2140/pjm.2014.272.245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove new criteria for normality for holomorphic mappings into the complex projective space using the generalized Zalcman lemma. This improves previous results in one complex variable. An example is included to complement our theory.

引用

页码：245 / 256

页数：12

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