Quasi-Continuous Vector Fields on RCD Spaces
| dc.contributor.author | Debin, Clément | |
| dc.contributor.author | Gigli, Nicola | |
| dc.contributor.author | Pasqualetto, Enrico | |
| dc.date.accessioned | 2020-03-03T12:14:33Z | |
| dc.date.available | 2020-03-03T12:14:33Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Debin, 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.other | CONVID_34664253 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/68036 | |
| dc.description.abstract | In 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.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Potential Analysis | |
| dc.rights | In Copyright | |
| dc.subject.other | RCD space | |
| dc.subject.other | differential calculus | |
| dc.subject.other | quasi-continuity | |
| dc.title | Quasi-Continuous Vector Fields on RCD Spaces | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202003032258 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 183-211 | |
| dc.relation.issn | 0926-2601 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 54 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Springer Nature B.V. 2020 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | differentiaaligeometria | |
| dc.subject.yso | funktionaalianalyysi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1007/s11118-019-09823-6 | |
| jyx.fundinginformation | This research has been supported by the MIUR SIR-grant ‘Nonsmooth Differential Geometry’ (RBSI147UG4). | |
| dc.type.okm | A1 |
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