arXiv:2005.05667 Abstract | arXiv Analytics

arXiv:2005.05667 [math.AP]Abstract References Reviews Resources

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

Published 2020-05-12Version 1

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.

Comments: 13 pages

Categories: math.AP

Keywords: unit ball, qch mappings, higher dimensional case, spatial domain, generalizes

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