6533b7d4fe1ef96bd1261d44
RESEARCH PRODUCT
Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen
Nageswari ShanmugalingamPekka KoskelaJeremy T. Tysonsubject
Discrete mathematicsDirichlet formMathematics::Analysis of PDEsDirichlet L-functionDirichlet's energyMathematics::Spectral Theorysymbols.namesakeDirichlet kernelDirichlet's principlesymbolsGeneral Dirichlet seriesAnalysisDirichlet seriesMathematicsSobolev spaces for planar domainsdescription
We answer a question of Jost on the validity of Poincare inequalities for metric space-valued functions in a Dirichlet domain. We also investigate the relationship between Dirichlet domains and the Sobolev-type spaces introduced by Korevaar and Schoen.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-11-01 | Potential Analysis |