On Dilatations and Substantial Boundary Points of Homeomorphisms of Jordan Curves

被引：0
|
作者：
Yang S. [1 ]
机构：
[1] Department of Mathematics and Computer Science, Emory University, Atlanta, 30322, GA
来源：
Results in Mathematics | 1997年 / 31卷 / 1-2期
关键词：
Affine map; Dilatation; Quasisymmetric homeomorphism; Substantial boundary point;
D O I：
10.1007/BF03322160
中图分类号：
学科分类号：
摘要：
We study the relation between the dilatations Kh and Kh* of a homeomorphism h of Jordan curves. We show that if Kh= Kh*, then either h is induced by an affine map or there is a substantial boundary point for h. In particular, we prove that if h is symmetric (in the sense of Gardiner and Sullivan), then Kh* > Kh. This is quite contrary to a previously conjectured relation between Kh and Kh*. © 1997, Birkhäuser Verlag, Basel.
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页码：180 / 188
页数：8
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