Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings
From MaRDI portal
Publication:5088141
DOI10.2298/FIL1815371SzbMath1499.30209OpenAlexW2941613896WikidataQ124934752 ScholiaQ124934752MaRDI QIDQ5088141
Publication date: 4 July 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1815371s
Schwarz lemmaquasiregular mapping\( \varphi \)-harmonic quasiconformal mappingEuclidean harmonic mappingquasihyperbolic quasi-isometry
Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62) General theory of univalent and multivalent functions of one complex variable (30C55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperbolically bi-Lipschitz continuity for \(1/|w|^2\)-harmonic quasiconformal mappings
- On harmonic functions on surfaces with positive Gauss curvature and the Schwarz lemma
- On harmonic quasiconformal quasi-isometries
- Problems and conjectures in planar harmonic mappings
- A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications
- Inner estimate and quasiconformal harmonic maps between smooth domains
- Quasiconformal analogues of theorems of Koebe and Hardy-Littlewood
- Uniform domains and the quasi-hyperbolic metric
- Constant mean curvature surface, harmonic maps, and universal Teichmüller space
- Distortion of quasiregular mappings and equivalent norms on Lipschitz-type spaces
- On the quasi-isometries of harmonic quasiconformal mappings
- The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings
- A class of harmonic quasiconformal mappings with strongly hyperbolically convex ranges
- Harmonic degree 1 maps are diffeomorphisms: Lewy’s theorem for curved metrics
- Bi-lipschicity of quasiconformal harmonic mappings in the plane
- Quasiconformal and Bi-Lipschitz Homeomorphisms, Uniform Domains and the Quasihyperbolic Metric
- 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
- The tension equation with holomorphic coefficients, harmonic mappings and rigidity
- On harmonic functions and the Schwarz lemma
- Dirichlets principle, distortion and related problems for harmonic mappings
- On the non-vanishing of the Jacobian in certain one-to-one mappings
This page was built for publication: Quasihyperbolic quasi-isometry and Schwarz lemma of planar flat harmonic mappings