6533b7d3fe1ef96bd1261518
RESEARCH PRODUCT
Characterization of Orlicz–Sobolev space
Heli Tuominensubject
PointwiseMathematics::Functional AnalysisGeneral MathematicsMathematical analysisFunction (mathematics)Characterization (mathematics)Space (mathematics)Measure (mathematics)Sobolev spacesymbols.namesakeTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONPoincaré conjectureMetric (mathematics)symbolsMathematicsdescription
We give a new characterization of the Orlicz–Sobolev space W1,Ψ(Rn) in terms of a pointwise inequality connected to the Young function Ψ. We also study different Poincaré inequalities in the metric measure space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-04-01 | Arkiv för Matematik |