Uniform and Sobolev Extension Domains

DOI10.2307/2159672zbMath0757.30022OpenAlexW4235303424MaRDI QIDQ3987573

David A. Herron, Pekka Koskela

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159672

zbMATH Keywords

Sobolev classquasiconformal mappingsextension domainuniform domainlocally uniform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasiconformal mappings in the complex plane (30C62)

Related Items

Poincaré domains and quasiconformal mappings, Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps, Removable sets for Sobolev spaces, Degree-independent Sobolev extension on locally uniform domains, Duality, uniformity, and linear local connectivity, A Sobolev extension domain that is not uniform, Traces and extensions of certain weighted Sobolev spaces on \(\mathbb{R}^n\) and Besov functions on Ahlfors regular compact subsets of \(\mathbb{R}^n\), Higher integrability result for nonlinear elliptic systems with conormal boundary conditions, Extensions and imbeddings, Hölder continuity of Sobolev functions and quasiconformal mappings

Cites Work

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• Uniform, Sobolev extension and quasiconformal circle domains
• Quasisymmetric embeddings of metric spaces
• Injectivity theorems in plane and space