Bilipschitz extensions of maps having quasiconformal extensions

DOI10.1007/BF01450765zbMath0533.30021OpenAlexW2088262139MaRDI QIDQ789567

Pekka Tukia, J. Vaeisaelae

Publication date: 1984

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163948

zbMATH Keywords

quasiconformal extensionLipschitz manifoldsbilipschitz extensionbilipschitz mapsflattening theory

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Flatness and tameness of topological manifolds (57N45)

Related Items (9)

Sharp distortion growth for bilipschitz extension of planar maps ⋮ On bilipschitz extensions in real Banach spaces ⋮ Quasi-isometry from different points of view ⋮ Thirty-three yes or no questions about mappings, measures, and metrics ⋮ Lipschitz and quasiconformal approximation of homeomorphism pairs ⋮ Quasi‐Mobius Homeomorphisms of Morse boundaries ⋮ Higher dimensional Ahlfors regular sets and chordarc curves in \(R^n\) ⋮ Maps on the Morse boundary ⋮ Bilipschitz homogeneous Jordan curves

Cites Work

• Injectivity of local quasi-isometries
• Uniform domains and the quasi-hyperbolic metric
• Quasiconformal extension from dimension n to n+1
• Extension of embeddings close to isometries or similarities
• Lipschitz and quasiconformal approximation and extension
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Piecewise quasiconformal maps are quasiconformal
• Quasisymmetric embeddings of metric spaces
• The planar Schönflies theorem for Lipschitz maps
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