Dirichlet forms, Poincaré inequalities, and the Sobolev spaces of Korevaar and Schoen

DOI10.1023/B:POTA.0000033331.88514.6ezbMath1088.31005OpenAlexW2023326039WikidataQ109994534 ScholiaQ109994534MaRDI QIDQ1876617

Pekka Koskela, Jeremy T. Tyson, Nageswari Shanmugalingam

Publication date: 20 August 2004

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:pota.0000033331.88514.6e

zbMATH Keywords

Sobolev spacePoincaré inequalityDirichlet formdoubling measureLipschitz functionCheeger's differentiation theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Dirichlet forms (31C25) Harmonic analysis on homogeneous spaces (43A85) Inequalities for sums, series and integrals (26D15)

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