Teichmüller's problem for Gromov hyperbolic domains

DOI10.1007/s11856-022-2352-0OpenAlexW3094205549WikidataQ115601868 ScholiaQ115601868MaRDI QIDQ2696642

Qingshan Zhou, Antti H. Rasila

Publication date: 17 April 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.11542

Mathematics Subject Classification ID

Maps and general types of topological spaces defined by maps (54Cxx) Functions of a complex variable (30-XX) Geometric function theory (30Cxx)

Related Items

Egg-yolk principle for uniformizing Gromov hyperbolic domains ⋮ Quasihyperbolic geodesics are cone arcs ⋮ Quasisymmetry of freely quasiconformal mappings in Banach spaces ⋮ Uniform domains in real Banach spaces ⋮ Geometric characterizations of symmetric maps in the complex plane ⋮ Geometric characterizations of Gromov hyperbolic Hölder domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric properties of \(\varphi \)-uniform domains
• Quasiconformal homogeneity of genus zero surfaces
• Elements of asymptotic geometry
• Quasisymmetry and unions
• Quasimöbius maps
• Conformal invariants and quasiregular mappings
• Uniform domains and the quasi-hyperbolic metric
• Conformal geometry and quasiregular mappings
• Quasiconformally homogeneous domains
• Geometric characterizations of Gromov hyperbolicity
• Embeddings of Gromov hyperbolic spaces
• Lectures on analysis on metric spaces
• Quasiconformal homogeneity of hyperbolic manifolds
• Teichmüller's problem in space
• Gromov hyperbolicity, John spaces, and quasihyperbolic geodesics
• Lectures on \(n\)-dimensional quasiconformal mappings
• Gromov hyperbolic spaces
• Uniformity from Gromov hyperbolicity
• Local properties of quasihyperbolic mappings in metric spaces
• Distortion of quasiconformal mappings with identity boundary values
• Gromov hyperbolicity and quasihyperbolic geodesics
• Quasimöbius maps, weakly quasimöbius maps and uniform perfectness in quasi-metric spaces
• On quasiconformal maps with identity boundary values
• A Remark on the Maximal Dilatation of a Quasiconformal Mapping
• Quasisymmetric embeddings of metric spaces
• Injectivity theorems in plane and space
• Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces
• Quasihyperbolic metric and Quasisymmetric mappings in metric spaces
• Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces