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
收藏
页码：2889 / 2893
页数：5
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