拟共形映射和John域  

QUASICONFORMAL MAPPINGS AND JOHN DOMAINS

作　　者：王芳[1] 高纯一[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《数学杂志》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)

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.

关 键 词：一致域 拟共形映射 线性局部连通域 John域 

分 类 号：O174.55[理学—数学]