Quasi‐invariance of modulus and quasisymmetry of weakly (L,M)‐quasisymmetric maps in metric spaces

DOI10.1112/mtk.12233OpenAlexW4388610133MaRDI QIDQ6144278

Tao Cheng, Shanshuang Yang

Publication date: 29 January 2024

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/mtk.12233

zbMATH Keywords

metric spacesquasiconformal mapsquasisymmetric maps

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
• On quasisymmetry of quasiconformal mappings
• Quasiconformal mappings onto John domains
• Quasiconformal maps of cylindrical domains
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• A p-extremal length and p-capacity equality
• Quasiconformal maps in metric spaces with controlled geometry
• Quasiconformal distortion on arcs
• The equality between \(p\)-capacity and \(p\)-modulus
• Lectures on analysis on metric spaces
• Sobolev classes of Banach space-valued functions and quasiconformal mappings
• Definitions of quasiconformality
• Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä
• Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
• Extremal length and p-capacity
• Lectures on \(n\)-dimensional quasiconformal mappings
• Metric and geometric quasiconformality in Ahlfors regular Loewner spaces
• Dimension conforme et sphère à l'infini des variétés à courbure négative
• Symmetrization of Rings in Space
• Homeomorphisms of bounded length distortion
• Quasisymmetric embeddings of metric spaces
• Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings
• Geometric and analytic quasiconformality in metric measure spaces
• An Introduction to the Theory of Higher-Dimensional Quasiconformal Mappings
• Quasisymmetry of weakly quasisymmetric homeomorphisms
• Quasiconformality to quasisymmetry via weak (L,M)-quasisymmetry

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