Lipschitz and quasiconformal approximation and extension

DOI10.5186/aasfm.1981.0626zbMath0448.30021OpenAlexW2330280929MaRDI QIDQ3894179

Pekka Tukia, J. Vaeisaelae

Publication date: 1981

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.1981.0626

zbMATH Keywords

dilatationSchoenflies theoremlipschitz and quasiconformal embeddings

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (47)

Canonical parametrizations of metric surfaces of higher topology ⋮ A note on \(\partial\)-biLipschitz mappings in quasiconvex metric spaces ⋮ Sharp distortion growth for bilipschitz extension of planar maps ⋮ Nonsmooth calculus ⋮ Injectivity, the BMO norm and the universal Teichmüller space ⋮ Quasiregular mappings on sub-Riemannian manifolds ⋮ Elliptic equations and maps of bounded length distortion ⋮ Möbius bilipschitz homogeneous arcs on the plane ⋮ The Gehring–Hayman inequality for quasihyperbolic geodesics ⋮ Existence of quasiconformal mappings in a given Hardy space ⋮ Sobolev homeomorphic extensions onto John domains ⋮ Quasiconformal extension fields ⋮ Bi-Lipschitz extension from boundaries of certain hyperbolic spaces ⋮ The classification of Kleinian surface groups. II: The Ending lamination conjecture ⋮ Mapping the surgery exact sequence for topological manifolds to analysis ⋮ A generalization of the Ahlfors theorem on quasi-isometric reflection ⋮ A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms ⋮ The orbits of generalized derivatives ⋮ Linear dilatation of quasiconformal maps in space ⋮ On uniformly disconnected Julia sets ⋮ Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion ⋮ A note on Väisälä's problem concerning free quasiconformal mappings ⋮ Quasiregular semigroups with examples ⋮ Semisolidity and locally weak quasisymmetry of homeomorphisms in metric spaces ⋮ Branch sets of uniformly quasiregular maps ⋮ An extendability condition for bilipschitz functions ⋮ Genericity of infinite entropy for maps with low regularity ⋮ Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings ⋮ On the infinitesimal space of UQR mappings ⋮ Lipschitz and quasiconformal approximation of homeomorphism pairs ⋮ Spiders' webs of doughnuts ⋮ Uniformly quasiregular maps on the compactified Heisenberg group ⋮ Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings ⋮ Quasihyperbolic mappings in length metric spaces ⋮ Quasihyperbolic mappings in Banach spaces ⋮ Bilipschitz mappings and quasihyperbolic mappings in real Banach spaces ⋮ Uniformization of Cantor sets with bounded geometry ⋮ Unnamed Item ⋮ Attractor sets and Julia sets in low dimensions ⋮ Stoïlow factorization for quasiregular mappings in all dimensions ⋮ Quasiconformal concordance ⋮ Examples of uniformly quasiregular mappings ⋮ An analytic proof of Novikov's theorem on rational Pontrjagin classes ⋮ Bilipschitz extensions of maps having quasiconformal extensions ⋮ The index theorem for topological manifolds ⋮ On isomorphisms of geometrically finite Möbius groups ⋮ Respectful quasiconformal extension from dimension \(n-1\) to \(n\)

This page was built for publication: Lipschitz and quasiconformal approximation and extension