Estimates on μ(z)-homeomorphisms of the unit disk
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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.
KeywordsUnit Disk Conformal Mapping Quasiconformal Mapping Extremal Length Degenerate Elliptic Equation
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