6533b832fe1ef96bd129afb7
RESEARCH PRODUCT
Differential structure associated to axiomatic Sobolev spaces
Nicola GigliEnrico PasqualettoEnrico Pasqualettosubject
cotangent moduleLocality of differentialsPure mathematicsGeneral MathematicsAxiomatic Sobolev spaceDifferential structureSpace (mathematics)01 natural sciencesMeasure (mathematics)Settore MAT/05 - Analisi MatematicaFOS: Mathematicsaxiomatic Sobolev space0101 mathematics46E35 51FxxdifferentiaalilaskentaCotangent moduleAxiomMathematicsAxiomatic Sobolev space; Cotangent module; Locality of differentials010102 general mathematicsLocalitymetriset avaruudetFunctional Analysis (math.FA)locality of differentialsSobolev spaceMathematics - Functional AnalysisMetric (mathematics)description
The aim of this note is to explain in which sense an axiomatic Sobolev space over a general metric measure space (à la Gol’dshtein–Troyanov) induces – under suitable locality assumptions – a first-order differential structure. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-12-01 |