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dc.contributor.authorDebin, Clément
dc.contributor.authorGigli, Nicola
dc.contributor.authorPasqualetto, Enrico
dc.date.accessioned2020-03-03T12:14:33Z
dc.date.available2020-03-03T12:14:33Z
dc.date.issued2021
dc.identifier.citationDebin, C., Gigli, N., & Pasqualetto, E. (2021). Quasi-Continuous Vector Fields on RCD Spaces. <i>Potential Analysis</i>, <i>54</i>(1), 183-211. <a href="https://doi.org/10.1007/s11118-019-09823-6" target="_blank">https://doi.org/10.1007/s11118-019-09823-6</a>
dc.identifier.otherCONVID_34664253
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/68036
dc.description.abstractIn the existing language for tensor calculus on RCD spaces, tensor fields are only defined m-a.e.. In this paper we introduce the concept of tensor field defined ‘2-capacity-a.e.’ and discuss in which sense Sobolev vector fields have a 2-capacity-a.e. uniquely defined quasi-continuous representative.en
dc.format.mimetypeapplication/pdf
dc.languageeng
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesPotential Analysis
dc.rightsIn Copyright
dc.subject.otherRCD space
dc.subject.otherdifferential calculus
dc.subject.otherquasi-continuity
dc.titleQuasi-Continuous Vector Fields on RCD Spaces
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202003032258
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.description.reviewstatuspeerReviewed
dc.format.pagerange183-211
dc.relation.issn0926-2601
dc.relation.numberinseries1
dc.relation.volume54
dc.type.versionacceptedVersion
dc.rights.copyright© Springer Nature B.V. 2020
dc.rights.accesslevelopenAccessfi
dc.subject.ysodifferentiaaligeometria
dc.subject.ysofunktionaalianalyysi
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
jyx.subject.urihttp://www.yso.fi/onto/yso/p17780
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/s11118-019-09823-6
jyx.fundinginformationThis research has been supported by the MIUR SIR-grant ‘Nonsmooth Differential Geometry’ (RBSI147UG4).


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