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arXiv · 2005.05667

QCH mappings between unit ball and domain with $C^{1,\alpha}$ boundary

Anton Gjokaj·David Kalaj
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Abstract

We prove the following. If $f$ is a harmonic quasiconformal mapping between the unit ball in $\mathbb{R}^n$ and a spatial domain with $C^{1,\alpha}$ boundary, then $f$ is Lipschitz continuous in $B$. This generalizes some known results for $n=2$ and improves some others in higher dimensional case.

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Anton Gjokaj, David Kalaj. 2020-05-12. QCH mappings between unit ball and domain with $C^{1,\alpha}$ boundary. https://arxiv.org/abs/2005.05667

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