HOLOMORPHIC AUTOMORPHISMS AND PROPER HOLOMORPHIC SELF-MAPPINGS OF A TYPE OF GENERALISED MINIMAL BALL

被引：2

作者：

Rong, Feng ^{[1
]}

Zhang, Ben ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 96卷 / 03期

基金：

中国国家自然科学基金;

关键词：

holomorphic automorphisms; proper holomorphic self-mappings; generalised minimal ball; BERGMAN; CN;

D O I：

10.1017/S0004972717000545

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first give a description of the holomorphic automorphism group of a convex domain which is a simple case of the so-called generalised minimal ball. As an application, we show that any proper holomorphic self-mapping on this type of domain is biholomorphic.

引用

页码：455 / 467

页数：13

共 15 条

[1] PROPER HOLOMORPHIC MAPPINGS IN CN [J].