Removable sets for Newtonian Sobolev spaces and a characterization of \(p\)-path almost open sets

DOI10.4171/rmi/1419zbMath1521.30073arXiv2105.09012OpenAlexW3160174797MaRDI QIDQ6172754

Panu Lahti, Jana Björn, Anders Björn

Publication date: 20 July 2023

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09012

zbMATH Keywords

Poincaré inequalitydoubling measureremovable setsmetric measure spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on metric spaces (30L99) Inequalities in metric spaces (30L15)

Related Items (3)

Corrigendum to: ``Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces ⋮ Extensions and approximations of Banach-valued Sobolev functions ⋮ Capacitary density and removable sets for Newton-Sobolev functions in metric spaces

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