摘要
本文研究了∫ΩBn中的John域与一致域和线性局部连通域的关系.利用平面中John域和拟圆的关系,获得了∫ΩBn中的John域成为一致域和线性局部连通域的几个充分条件,它们是2的推广.
The main purpose of this paper is to study the relation among a John domain,a uniform domain and a linearly locally connected domain.We obtain several sufficient conditions for a John domain to be a uniform or linearly locally connected domain in R^-n by utilizing the relation between a John domain and a quasidisk in R^-2,then the relative results in R^-2 are generalized.
出处
《数学杂志》
CSCD
北大核心
2008年第3期313-318,共6页
Journal of Mathematics
基金
湖南省自然科学基金资助项目(05JJ30013)
关键词
一致域
拟共形映射
线性局部连通域
John域
Uniform domain
quasiconformal mapping
linearly locally connected domain
John domain
