Subgraphs of BV functions on RCD spaces
| dc.contributor.author | Antonelli, Gioacchino | |
| dc.contributor.author | Brena, Camillo | |
| dc.contributor.author | Pasqualetto, Enrico | |
| dc.date.accessioned | 2024-02-29T05:52:23Z | |
| dc.date.available | 2024-02-29T05:52:23Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | Antonelli, G., Brena, C., & Pasqualetto, E. (2024). Subgraphs of BV functions on RCD spaces. <i>Annals of Global Analysis and Geometry</i>, <i>65</i>(2), Article 14. <a href="https://doi.org/10.1007/s10455-024-09945-0" target="_blank">https://doi.org/10.1007/s10455-024-09945-0</a> | |
| dc.identifier.other | CONVID_207296277 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/93742 | |
| dc.description.abstract | In this work we extend classical results for subgraphs of functions of bounded variation in Rn×R to the setting of X×R, where X is an RCD(K,N) metric measure space. In particular, we give the precise expression of the push-forward onto X of the perimeter measure of the subgraph in X×R of a BV function on X. Moreover, in properly chosen good coordinates, we write the precise expression of the normal to the boundary of the subgraph of a BV function f with respect to the polar vector of f, and we prove change-of-variable formulas. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation.ispartofseries | Annals of Global Analysis and Geometry | |
| dc.rights | CC BY 4.0 | |
| dc.title | Subgraphs of BV functions on RCD spaces | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202402292214 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | 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.relation.issn | 0232-704X | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 65 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2024 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | differentiaaligeometria | |
| dc.subject.yso | variaatiolaskenta | |
| dc.subject.yso | mittateoria | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p11197 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s10455-024-09945-0 | |
| jyx.fundinginformation | The third named author acknowledges the support by the Balzan project led by Luigi Ambrosio. Open Access funding provided by University of Jyväskylä (JYU). | |
| dc.type.okm | A1 |
Aineistoon kuuluvat tiedostot
Aineisto kuuluu seuraaviin kokoelmiin
Ellei muuten mainita, aineiston lisenssi on CC BY 4.0