Local and semilocal Poincaré inequalities on metric spaces

DOI10.1016/j.matpur.2018.05.005zbMath1407.31006arXiv1703.00752OpenAlexW3099543189MaRDI QIDQ1791738

Anders Björn, Jana Björn

Publication date: 11 October 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00752

zbMATH Keywords

Poincaré inequalityLebesgue pointmetric measure spacequasicontinuitydensity of Lipschitz functionslocal doubling

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Inequalities involving derivatives and differential and integral operators (26D10) Other generalizations (nonlinear potential theory, etc.) (31C45) Potential theory on fractals and metric spaces (31E05) Analysis on metric spaces (30L99)

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