Relative quasisymmetry and quasimöbius mappings in quasi-metric spaces

DOI10.1007/s10114-022-1003-zzbMath1486.30072OpenAlexW4210391198MaRDI QIDQ2119461

Hongjun Liu, Xiaojun Huang, Yue Fan

Publication date: 29 March 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1003-z

zbMATH Keywords

quasi-metric spacequasisymmetric mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Cites Work

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• The boundary correspondence under quasiconformal mappings
• Elements of asymptotic geometry
• The properties of quasisymmetric mappings in metric spaces
• Quasimöbius maps
• Quasiconformal maps in metric spaces with controlled geometry
• Rigidity for quasi-Möbius group actions
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Definitions of quasiconformality
• Local properties of quasihyperbolic mappings in metric spaces
• Analytic Properties of Quasiconformal Mappings Between Metric Spaces
• Quasimöbius maps, weakly quasimöbius maps and uniform perfectness in quasi-metric spaces
• Exceptional Sets for Quasiconformal Mappings in General Metric Spaces
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Free quasiconformality in Banach spaces II
• Quasisymmetric embeddings of metric spaces
• Quasihyperbolic metric and Quasisymmetric mappings in metric spaces

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