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[1]
Mori A(1956)On an absolute constant in the theory of quasi-conformal mappings J. Math. Soc. Jpn. 8 156-166
On a Hölder Constant in the Theory of Quasiconformal Mappings
被引：0
作者：
István Prause
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
来源：
Computational Methods and Function Theory
|
2014年
/
14卷
关键词：
Quasiconformal mappings;
Hölder continuity;
Sharp inequalities;
30C62;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A K\documentclass[12pt]{minimal}
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\begin{document}$$K$$\end{document}-quasiconformal selfmap of the unit disk with identity boundary values satisfies the Hölder estimate |f(z)-f(w)|≤41-1/K|z-w|1/K.\documentclass[12pt]{minimal}
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\begin{document}$$\begin{aligned} |f(z)-f(w)| \le 4^{1-1/K} |z-w|^{1/K}. \end{aligned}$$\end{document}The constant 41-1/K\documentclass[12pt]{minimal}
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\begin{document}$$4^{1-1/K}$$\end{document} is sharp.
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页码：483 / 486
页数：3
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