Quasisymmetric graphs and Zygmund functions

被引：0
|
作者：
Kovalev, Leonid V. [1 ]
Onninen, Jani [1 ]
机构：
[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2012年 / 118卷
基金：
美国国家科学基金会;
关键词：
DIMENSION; EXTENSION; EMBEDDINGS;
D O I：
10.1007/s11854-012-0039-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a generalization of the Zygmund class Lambda(*). This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.
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页码：343 / 361
页数：19
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