On μ-conformal homeomorphisms and boundary correspondence

DOI10.1080/17476933.2011.613116zbMath1291.30126arXiv1102.4987OpenAlexW2081406589MaRDI QIDQ2851214

Toshiyuki Sugawa, Ken-Ichi Sakan, Vladimir Ya. Gutlyanskiĭ

Publication date: 10 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4987

zbMATH Keywords

annulusquasiconformal mappingsBeltrami equation\(\mu\)-homeomorphism

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (5)

On locally quasiconformal Teichmüller spaces ⋮ Homeomorphisms between Finsler manifolds satisfying the Rohde condition ⋮ Teichmüller's theorem in higher dimensions and its applications ⋮ Modules of systems of measures on polarizable Carnot groups ⋮ Nonlinear Beltrami equation

Cites Work

• The boundary correspondence under quasiconformal mappings
• On the local behavior of certain homeomorphisms
• Conformality of a quasiconformal mapping at a point
• Boundary correspondence under \(\mu (z)\)-homeomorphisms
• On mappings, conformal at the boundary
• Sufficient and necessary conditions for conformality at a point. Part I. Geometric viewpoint
• Sufficient and necessary conditions for conformality. Part II. Analytic viewpoint
• Weakly Differentiable Functions
• On the degenerate Beltrami equation
• Schwarz-Pick Type Inequalities
• Estimates on \(\mu(z)\)-homeomorphisms of the unit disk

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