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arXiv · 2208.02715

Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk

Olli Hirviniemi·Lauri Hitruhin
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Abstract

We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$-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.

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Olli Hirviniemi, Lauri Hitruhin. 2022-08-04. Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk. https://arxiv.org/abs/2208.02715

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