Quasisymmetric graphs and Zygmund functions
Complex Variables
2012-11-13 v1 Classical Analysis and ODEs
Abstract
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 . This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.
Keywords
Cite
@article{arxiv.1107.2435,
title = {Quasisymmetric graphs and Zygmund functions},
author = {Leonid V. Kovalev and Jani Onninen},
journal= {arXiv preprint arXiv:1107.2435},
year = {2012}
}
Comments
21 pages, no figures