Quasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi Väisälä

DOI10.1215/S0012-7094-00-10138-XzbMath1072.30503OpenAlexW1487181368MaRDI QIDQ1975999

Pekka Koskela, Zoltán M. Balogh

Publication date: 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-00-10138-x

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Special maps on metric spaces (54E40)

Related Items (21)

Nonsmooth calculus ⋮ Weakly quasisymmetric maps and uniform spaces ⋮ On quasisymmetric mappings in semimetric spaces ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ Quasiconformality to quasisymmetry via weak (L,M)-quasisymmetry ⋮ An extension property of quasimöbius mappings in metric spaces ⋮ Quasi‐invariance of modulus and quasisymmetry of weakly (L,M)‐quasisymmetric maps in metric spaces ⋮ On quasisymmetry of quasiconformal mappings ⋮ Capacitary density and removable sets for Newton-Sobolev functions in metric spaces ⋮ Quasisymmetry and quasihyperbolicity of mappings on John domains ⋮ Metric space mappings connected with Sobolev-type function classes ⋮ Bi-Lipschitz maps in \(Q\)-regular Loewner spaces ⋮ The quasiconformal subinvariance property of John domains in \({\mathbb {R}}^n\) and its applications ⋮ Quasiconformal non-parametrizability of almost smooth spheres ⋮ Uniformly quasiregular maps on the compactified Heisenberg group ⋮ Metric and geometric quasiconformality in Ahlfors regular Loewner spaces ⋮ Hausdorff dimension distribution of quasiconformal mappings on the Heisenberg group ⋮ Scaled-oscillation and regularity ⋮ Sphericalization and flattening ⋮ On Sokhotski–Casorati–Weierstrass theorem on metric spaces ⋮ Sobolev classes of Banach space-valued functions and quasiconformal mappings

Cites Work

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• Quasiconformal maps in metric spaces with controlled geometry
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Definitions of quasiconformality
• On removable sets for quasiconformal mappings
• Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality
• Confromal invariants and function-theoretic null-sets
• Area and Hausdorff Dimension of Julia Sets of Entire Functions
• Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings
• Removability of sets for quasiconformal mappings and sobolev spaces
• Hausdorff Dimension and Quasiconformal Mappings

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