A class of harmonic quasiconformal mappings with strongly hyperbolically convex ranges

DOI10.1080/17476933.2011.622044zbMath1279.30029OpenAlexW2163617829MaRDI QIDQ2851219

Xingdi Chen, Ai-nong Fang

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1080/17476933.2011.622044

zbMATH Keywords

harmonic quasiconformal mappingshyperbolically Lipschitz mappingshyperbolically partial derivativesstrongly hyperbolically convex domains

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)

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Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings ⋮ Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings ⋮ Quasi-isometricity and equivalent moduli of continuity of planar 1/|ω|2-harmonic mappings ⋮ Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications

Cites Work

• Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains
• Quasiconformal and harmonic mappings between Jordan domains
• A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications
• Inner estimate and quasiconformal harmonic maps between smooth domains
• On the quasi-isometries of harmonic quasiconformal mappings
• Strongly hyperbolically convex functions
• A Report on Harmonic Maps
• On Harmonic Diffeomorphisms of the Unit Disc onto a Convex Domain
• Convergence of harmonic maps on the Poincaré disk
• Harmonic Mappings of Riemannian Manifolds

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