A note on quasiconformal maps with Holder-continuous dilatation

James T. Gill; Steffen Rohde

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arXiv · 1302.3899

A note on quasiconformal maps with Holder-continuous dilatation

James T. Gill·Steffen Rohde

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Abstract

Here we give an alternate proof of a sufficient condition due to J. Mateu, J. Orobitg, and J. Verdera for a quasiconformal map of the plane with dilatation supported in a smooth domain to be bi-Lipschitz. We also extend this theorem to cover boundaries with certain types of corners.

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James T. Gill, Steffen Rohde. 2013-02-15. A note on quasiconformal maps with Holder-continuous dilatation. https://arxiv.org/abs/1302.3899

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