Bilipschitz and quasisymmetric extension properties

DOI10.5186/aasfm.1986.1117zbMath0607.30019OpenAlexW2314717716MaRDI QIDQ3746067

J. Vaeisaelae

Publication date: 1986

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1986.1117

zbMATH Keywords

bilipschitz extensionquasisymmetric extension

Mathematics Subject Classification ID

Differential topology (57R99) Quasiconformal mappings in the complex plane (30C62)

Related Items (18)

Sharp distortion growth for bilipschitz extension of planar maps ⋮ Smooth quasiregular maps with branching in \(\mathbf R^n\) ⋮ Radial extensions of bilipschitz maps between unit spheres ⋮ Extendability of classes of maps and new properties of upper sets ⋮ Wiggly sets and limit sets ⋮ Thick sets and quasisymmetric maps ⋮ Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps ⋮ Quasisymmetric extension on the real line ⋮ Gromov hyperbolic discrete spaces and their application to extension of classes of mappings ⋮ Linear dilatation of quasiconformal maps in space ⋮ An extendability condition for bilipschitz functions ⋮ Sobolev embeddings, extensions and measure density condition ⋮ Quasiconformal planes with bi-Lipschitz pieces and extensions of almost affine maps ⋮ Isometric approximation ⋮ Geometry of Grushin spaces ⋮ Boundary value problems and Brownian motion on fractals ⋮ Fractal lines and quasiconformal mappings ⋮ Respectful quasiconformal extension from dimension \(n-1\) to \(n\)

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