A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications
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Publication:982562
DOI10.1016/j.jmaa.2010.02.031zbMath1194.30027OpenAlexW2024829118MaRDI QIDQ982562
Publication date: 7 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.031
Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)
Related Items (14)
Quasiconformal harmonic mappings and the curvature of the boundary ⋮ A note on the Schwarz lemma for harmonic functions ⋮ Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings ⋮ Normality of the $p$-harmonic and $\log$-$p$-harmonic mappings ⋮ \((K, K^{\prime})\)-quasiconformal harmonic mappings ⋮ A generalized Schwarz-Pick inequality for quasiconformal mappings satisfying Poisson's equation ⋮ Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings ⋮ Schwarz lemma for solutions of the \(\alpha\)-harmonic equation ⋮ A class of harmonic quasiconformal mappings with strongly hyperbolically convex ranges ⋮ Quasi-isometricity and equivalent moduli of continuity of planar 1/|ω|2-harmonic mappings ⋮ Unnamed Item ⋮ Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications
Cites Work
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- Hyperbolic geometry in k-convex regions
- Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains
- Constant mean curvature surface, harmonic maps, and universal Teichmüller space
- On normal and automorphic functions
- A multi-point Schwarz-Pick lemma
- On the quasi-isometries of harmonic quasiconformal mappings
- A General Schwarz Lemma for Kahler Manifolds
- A Report on Harmonic Maps
- On Harmonic Diffeomorphisms of the Unit Disc onto a Convex Domain
- Generalized Schwarz-Pick estimates
- Convergence of harmonic maps on the Poincaré disk
- Note on Schwarz-Pick estimates for bounded and positive real part analytic functions
- Harmonic Mappings of Riemannian Manifolds
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