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.

引用

页码：343 / 361

页数：19

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