Proper Holomorphic Self-Maps of Quasi-balanced Domains

被引：0

作者：

Li, Fengbai ^{[1
]}

Rong, Feng ^{[2
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Math, Dept Appl Math, 777 Guo Ding Rd, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Dept Math, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2017年 / 27卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Quasi-balanced domain; Proper holomorphic self-map; PSEUDO-CONVEX DOMAINS; C-N; REINHARDT DOMAINS; CIRCULAR DOMAINS; MAPPINGS; BOUNDARY; FIELDS;

D O I：

10.1007/s12220-017-9786-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that proper holomorphic self-maps of smoothly bounded pseudoconvex quasi-balanced domains of finite type are automorphisms. This generalizes the classical Alexander's theorem on proper holomorphic self-maps of the unit ball.

引用

页码：2889 / 2893

页数：5

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