Removable sets for Sobolev spaces

DOI10.1007/BF02412216zbMath1070.46502WikidataQ109967682 ScholiaQ109967682MaRDI QIDQ1428368

Pekka Koskela

Publication date: 19 May 2005

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Sobolev space\(p\)-Poincaré inequalityremovable\(p\)-porous sets

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

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Cites Work

• Quasiextremal distance domains and extension of quasiconformal mappings
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Removable singularities and condenser capacities
• Quasiconformal maps in metric spaces with controlled geometry
• Extensions and imbeddings
• Hölder continuity of Sobolev functions and quasiconformal mappings
• Continuity of Sobolev functions and Dirichlet finite harmonic measures
• Definitions of quasiconformality
• On removable sets for quasiconformal mappings
• Confromal invariants and function-theoretic null-sets
• Condenser capacities and removable sets in W^1,p
• Uniform and Sobolev Extension Domains
• Removability of sets for quasiconformal mappings and sobolev spaces
• From local to global in quasiconformal structures.
• Regularity theory and traces of 𝒜-harmonic functions
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