Domains of Injective Holomorphy

被引：0

作者：

Gauthier, P. M. ^{[1
]}

Nestoridis, V. ^{[2
]}

机构：

[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[2] Univ Athens, Dept Math, GR-15784 Athens, Greece

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

domains of holomorphy;

D O I：

10.4153/CMB-2011-099-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A domain Omega is called a domain of injective holomorphy if there exists an injective holomorphic function f: Omega -> C that is non-extendable. We give examples of domains that are domains of injective holomorphy and others that are not. In particular, every regular domain ((Omega) over bar (o) = Omega) is a domain of injective holomorphy, and every simply connected domain is a domain of injective hobomorphy as well.

引用

页码：509 / 522

页数：14

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