Document Type
Article
Date
7-12-2011
Disciplines
Mathematics
Description/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 lambda. This relation makes it possible to use the tools of harmonic analysis to construct nontrivial examples of quasisymmetric graphs and of quasiconformal maps.
Recommended Citation
Kovalev, Leonid V. and Onninen, Jani, "Quasisymmetric Graphs and Zygmund Functions" (2011). Mathematics - All Scholarship. 55.
https://surface.syr.edu/mat/55
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1107.2435