Domains of Injective Holomorphy

Canadian mathematical bulletin

P. M. Gauthier²  V. Nestoridis¹ 

[1] Department of Mathematics, University of Athens, Panepistimioupolis GR-157 84, Athens, Greece;Département de Mathématiques et statistiques, Université de Montréal, Montreal, QC H3C 3J7

关键词: domains of holomorphy;   

DOI  :  10.4153/CMB-2011-099-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A domain $Omega$ is called a domain of injective holomorphy ifthere exists an injective holomorphic function$fcolon Omegaightarrowmathbb{C}$ that is non-extendable. We give examples ofdomains that are domains of injective holomorphy and others that are not. In particular, every regular domain$(overlineOmega^o=Omega)$ is a domain of injective holomorphy, andevery simply connected domain is a domain of injective holomorphy as well.

【 授权许可】

Unknown