Sharp Distortion Theorems for Quasiconformal Mappings

DOI10.2307/2001042zbMath0639.30019OpenAlexW4249439567MaRDI QIDQ3781329

Glenn D. Anderson, Mavina K. Vamanamurthy, Matti Vuorinen

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001042

zbMATH Keywords

quasihyperbolic metricquasiregular mappingsdimension-free distortion theory

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (9)

Advances in differential forms and the \(A\)-harmonic equation ⋮ Hyperbolic type distances in starlike domains ⋮ Composition operators on the Bergman space with quasiconformal symbols ⋮ Distortion of quasiconformal maps in terms of the quasihyperbolic metric ⋮ On Mori's theorem in quasiconformal theory ⋮ Linear dilatation of quasiconformal maps in space ⋮ Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces ⋮ Monotonicity theorems and inequalities for the complete elliptic integrals ⋮ Teichmüller's problem in space

Cites Work

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• Über das Maximum des absoluten Betrages des Differenzenquotienten für unimodular beschränkte Funktionen
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• Rings and Quasiconformal Mappings in Space
• Capacity Densities and Angular Limits of Quasiregular Mappings
• Dependence on Dimension of a Constant Related to the Grotzsch Ring

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