摘要
设D是R2中的Jordan域,D*=R2＼D是D的外部,本文证明了拟圆的下面三个充要条件:(1)D是拟圆当且仅当D和D*都是弱拟凸域;(2)D是拟圆当且仅当D和D*都是弱Cigar域;(3)D是拟圆当且仅当D是弱一致域.
Let D be a Jordan domain in (?), and D* = (?)\(?) the exterior of D. This paper proves the following three results: (1) D is a quasidisk if and only if both D and D* are weakly quasiconvex domains; (2) D is a quasidisk if and only if both D and D* are weakly Cigar domains; (3) D is a quasidisk if and only if D is a weakly uniform domain.
出处
《数学年刊（A辑）》
CSCD
北大核心
2004年第6期761-766,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10271043)浙江省自然科学基金(No.M103087)资助的项目.
关键词
拟共形映射
拟圆
弱拟凸域
弱Cigar域
弱一致域
Quasiconformal mapping, Quasidisk, Weakly quasiconvex domain, Weakly Cigar domain, Weakly uniform domain
