Fine properties of functions with bounded variation in Carnot-Carathéodory spaces

Don, Sebastiano; Vittone, Davide

doi:10.1016/j.jmaa.2019.06.035

dc.contributor.author	Don, Sebastiano
dc.contributor.author	Vittone, Davide
dc.date.accessioned	2019-09-05T11:41:36Z
dc.date.available	2021-11-01T22:35:09Z
dc.date.issued	2019
dc.identifier.citation	Don, S., & Vittone, D. (2019). Fine properties of functions with bounded variation in Carnot-Carathéodory spaces. <i>Journal of Mathematical Analysis and Applications</i>, <i>479</i>(1), 482-530. <a href="https://doi.org/10.1016/j.jmaa.2019.06.035" target="_blank">https://doi.org/10.1016/j.jmaa.2019.06.035</a>
dc.identifier.other	CONVID_31225651
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/65426
dc.description.abstract	We study properties of functions with bounded variation in Carnot-Carathéodory spaces. We prove their almost everywhere approximate differentiability and we examine their approximate discontinuity set and the decomposition of their distributional derivatives. Under an additional assumption on the space, called property R, we show that almost all approximate discontinuities are of jump type and we study a representation formula for the jump part of the derivative.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Academic Press
dc.relation.ispartofseries	Journal of Mathematical Analysis and Applications
dc.rights	CC BY-NC-ND 4.0
dc.subject.other	functions with bounded variation
dc.subject.other	Carnot-Carathéodory spaces
dc.title	Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-201909023999
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.date.updated	2019-09-02T12:15:15Z
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.format.pagerange	482-530
dc.relation.issn	0022-247X
dc.relation.numberinseries	1
dc.relation.volume	479
dc.type.version	acceptedVersion
dc.rights.copyright	© 2019 Elsevier Inc.
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	288501
dc.relation.grantnumber	713998
dc.relation.grantnumber	713998
dc.relation.projectid	info:eu-repo/grantAgreement/EC/H2020/713998/EU//GeoMeG
dc.subject.yso	differentiaaligeometria
dc.subject.yso	mittateoria
dc.subject.yso	variaatiolaskenta
dc.subject.yso	funktiot
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p13386
jyx.subject.uri	http://www.yso.fi/onto/yso/p11197
jyx.subject.uri	http://www.yso.fi/onto/yso/p7097
dc.rights.url	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi	10.1016/j.jmaa.2019.06.035
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Euroopan komissio	fi
dc.relation.funder	Academy of Finland	en
dc.relation.funder	European Commission	en
jyx.fundingprogram	Akatemiatutkija, SA	fi
jyx.fundingprogram	ERC Starting Grant	fi
jyx.fundingprogram	Academy Research Fellow, AoF	en
jyx.fundingprogram	ERC Starting Grant	en
jyx.fundinginformation	The authors are supported by the University of Padova Project Networking and STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New” (SUGGESTION), and by GNAMPA of INdAM (Italy) project “Campi vettoriali, superfici e perimetri in geometrie singolari”. The second named author wishes to acknowledge the support and hospitality of FBK-CIRM (Trento), where part of this paper was written. The first named author has been partially supported by the Academy of Finland (grant 288501 “Geometry of subRiemannian groups”) and by the European Research Council (ERC Starting Grant 713998 GeoMeG “Geometry of Metric Groups”).
dc.type.okm	A1