Comparison theorems for hyperbolic type metrics

DOI10.1080/17476933.2016.1182517zbMath1354.54026arXiv1504.04487OpenAlexW2279118388MaRDI QIDQ2816593

Parisa Hariri, Matti Vuorinen, Aleksey A. Dovgoshey

Publication date: 25 August 2016

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

Full work available at URL: https://arxiv.org/abs/1504.04487

zbMATH Keywords

quasihyperbolic metricquasiconformal mappinguniform domaindistance ratio metricbilipschitz condition

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric spaces, metrizability (54E35)

Related Items (9)

Estimates of the Kobayashi and quasi-hyperbolic distances ⋮ Remarks on the scale-invariant Cassinian metric ⋮ Averaging one-point hyperbolic-type metrics ⋮ A new intrinsic metric and quasiregular maps ⋮ Apollonian metric, uniformity and Gromov hyperbolicity ⋮ One-point hyperbolic-type metrics ⋮ Strongly hyperbolic metrics on Ptolemy spaces ⋮ A new intrinsic metric on metric spaces ⋮ Hyperbolic metrics on open subsets of Ptolemaic spaces with sharp parameter bounds

Cites Work

• Some remarks on the visual angle metric
• Quasihyperbolic geodesics in convex domains. II
• Conformal invariants and quasiregular mappings
• Uniform domains and the quasi-hyperbolic metric
• Conformal geometry and quasiregular mappings
• Quasiconformally homogeneous domains
• A new weighted metric: the relative metric. I
• The visual angle metric and Möbius transformations
• Lectures on \(n\)-dimensional quasiconformal mappings
• Lipschitz conditions, triangular ratio metric, and quasiconformal maps
• On quasihyperbolic geodesics in Banach spaces
• Encyclopedia of Distances

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