Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk
Complex Variables
2022-08-05 v1
Abstract
We consider quasiconformal mappings of the unit disk that have a planar extension which have -integrable distortion. In this paper, we establish a bound for the modulus of continuity for the inverse mapping and show sharpness of this bound. Furthermore, we also obtain bounds for the compression multifractal spectra of such mappings.
Keywords
Cite
@article{arxiv.2208.02715,
title = {Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk},
author = {Olli Hirviniemi and Lauri Hitruhin},
journal= {arXiv preprint arXiv:2208.02715},
year = {2022}
}