摘要
设D是扩充复平面R-2中的单连通Jordan真子域,D*=R-2\D-是D的外部.本文肯定并证明 了K.Hag在1999年提出的如下两个悬而未决的问题:(1)D是Cigar域当且仅当D是OLC域; (2)D是Turning域当且仅当D*是Cigar域.
Suppose that D is a simply connected Jordan proper subdomain in the extended com-plex plane R-2 , and D* = R-2\D- the exterior of D. In this paper, the authors affirm and prove two open problems which were given by K. Hag in 1999: (1) D is a Cigar domain if and only if D is a OLC domain. (2) D is a Turning domain if and only if D* is a Cigar domain.
出处
《数学年刊（A辑）》
CSCD
北大核心
2005年第1期99-104,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10471039
No.10271043)浙江省自然科学基金(No.M103087)资助的项目.
