Estimates on μ(z)-homeomorphisms of the unit disk

被引：4
|
作者：
Chen Zhiguo
机构：
[1] Zhejiang University,Department of Mathematics, XiXi Campus
来源：
Israel Journal of Mathematics | 2001年 / 122卷 / 1期
关键词：
Unit Disk; Conformal Mapping; Quasiconformal Mapping; Extremal Length; Degenerate Elliptic Equation;
D O I：
10.1007/BF02809907
中图分类号：
学科分类号：
摘要：
In the theory ofK-quasiconformal mappings, Mori's theorem shows thatK-quasiconformal mappings on the unit disk satisfy the Hölder condition, where the coefficient 16 is best possible. In this paper, we prove that self-μ(z)-homeomorphisms on the unit disk have an analogical result to Mori's theorem when the integral mean dilatations are controlled by log function. An unimprovable inequality is obtained.
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页码：347 / 358
页数：11
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