Condition R and proper holomorphic maps between equidimensional product domains

被引：3

作者：

Chakrabarti, Debraj ^{[1
]}

Verma, Kaushal ^{[2
]}

机构：

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

[2] Indian Inst Sci, Dept Math, Bengaluru 560012, India

来源：

ADVANCES IN MATHEMATICS | 2013年 / 248卷

关键词：

Proper holomorphic mappings; Condition R; BIHOLOMORPHIC-MAPPINGS; PSEUDOCONVEX DOMAINS; BOUNDARY-REGULARITY; BEHAVIOR;

D O I：

10.1016/j.aim.2013.08.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider proper holomorphic mappings of equidimensional pseudoconvex domains in complex Euclidean space, where both source and target can be represented as Cartesian products of smoothly bounded domains. It is shown that such mappings extend smoothly up to the closures of the domains, provided each factor of the source satisfies Condition R. It also shown that the number of smoothly bounded factors in the source and target must be the same, and the proper holomorphic map splits as a product of proper mappings between the factor domains. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：820 / 842

页数：23

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