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arXiv · 1107.2435

Quasisymmetric graphs and Zygmund functions

Leonid V. Kovalev·Jani Onninen
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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 $Λ_*$. 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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Leonid V. Kovalev, Jani Onninen. 2011-07-12. Quasisymmetric graphs and Zygmund functions. https://doi.org/10.1007/s11854-012-0039-x

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