The rank-one theorem on RCD spaces

Antonelli, Gioacchino; Brena, Camillo; Pasqualetto, Enrico

doi:10.2140/apde.2024.17.2797

dc.contributor.author	Antonelli, Gioacchino
dc.contributor.author	Brena, Camillo
dc.contributor.author	Pasqualetto, Enrico
dc.date.accessioned	2024-10-21T11:43:46Z
dc.date.available	2024-10-21T11:43:46Z
dc.date.issued	2024
dc.identifier.citation	Antonelli, G., Brena, C., & Pasqualetto, E. (2024). The rank-one theorem on RCD spaces. <i>Analysis and PDE</i>, <i>17</i>(8), 2797-2840. <a href="https://doi.org/10.2140/apde.2024.17.2797" target="_blank">https://doi.org/10.2140/apde.2024.17.2797</a>
dc.identifier.other	CONVID_243549862
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/97566
dc.description.abstract	We extend Alberti’s rank-one theorem to RCD(K, N) metric measure spaces	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Mathematical Sciences Publishers
dc.relation.ispartofseries	Analysis and PDE
dc.rights	CC BY 4.0
dc.subject.other	function of bounded variation
dc.subject.other	rank-one theorem
dc.subject.other	RCD space
dc.title	The rank-one theorem on RCD spaces
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202410216428
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.format.pagerange	2797-2840
dc.relation.issn	2157-5045
dc.relation.numberinseries	8
dc.relation.volume	17
dc.type.version	publishedVersion
dc.rights.copyright	© 2024 MSP (Mathematical Sciences Publishers)
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	10.2140/apde.2024.17.2797
jyx.fundinginformation	Antonelli was partially supported by the Swiss National Science Foundation (grant 200021-204501 Regularity of sub-Riemannian geodesics and applications), by the European Research Council (ERC Starting Grant 713998 GeoMeG Geometry of Metric Groups), and the PRIN Project 2017TEXA3H. Pasqualetto is supported by the Balzan project led by Luigi Ambrosio.
dc.type.okm	A1