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arXiv · 1309.6748

On a Hölder constant in the theory of quasiconformal mappings

István Prause
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Abstract

A K-quasiconformal selfmap of the unit disk with identity boundary values satisfies the Hölder estimate $|f(z)-f(w)| \leq 4^{1-1/K} |z-w|^{1/K}$. The constant $4^{1-\frac{1}{K}}$ is sharp.

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István Prause. 2014-03-03. On a Hölder constant in the theory of quasiconformal mappings. https://doi.org/10.1007/s40315-014-0060-4

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