摘要
拟圆是拟共形映照理论中的重要概念和研究对象，对拟圆的研究有着重要意义，许多著作都专门研究了拟圆，得到了拟圆的许多性质以及判定拟圆的充分条件。本文给出了复平面上判定拟圆的两个充分条件，它们分别是Ｆ．ｗ．Ｇｅｈｒｉｎｇ和Ｏ．Ｍａｒｔｉｏ在文［１，２］中两个必要条件在一定条件下的逆。本文的两个充分条件在应用上较为广泛和实用。
Quasidisk is an important concept and researching object in quasiconformal mapping theory. It’s very significance to study quasidisk.Mang authors have specialized in quasidisk and lots of property and sufficient conditions of quasidlisk have been obtained.In this paper,we have obtained two sufficient conditions for quasidisk in R￣2 which are the inverse of Gehring and Martio’s two necessary conditions under some conditions in paper[1,2]respectively,Our results are applied widely and practically.
出处
《数学杂志》
CSCD
北大核心
1995年第4期449-454,共6页
Journal of Mathematics
基金
国防科技术大学青年基金
关键词
拟共形映照
拟圆
线性局部连通
充分条件
Quasiconformal mapping,Quasidisk,Jordan domain,’Linear local connected,Bounded convex domain.
