Lipschitz Functions on Submanifolds of Heisenberg Groups

Julia, Antoine; Nicolussi Golo, Sebastiano; Vittone, Davide

doi:10.1093/imrn/rnac066

dc.contributor.author	Julia, Antoine
dc.contributor.author	Nicolussi Golo, Sebastiano
dc.contributor.author	Vittone, Davide
dc.date.accessioned	2022-10-24T11:53:22Z
dc.date.available	2022-10-24T11:53:22Z
dc.date.issued	2023
dc.identifier.citation	Julia, A., Nicolussi Golo, S., & Vittone, D. (2023). Lipschitz Functions on Submanifolds of Heisenberg Groups. <i>International Mathematics Research Notices</i>, <i>2023</i>(9), 7399-7422. <a href="https://doi.org/10.1093/imrn/rnac066" target="_blank">https://doi.org/10.1093/imrn/rnac066</a>
dc.identifier.other	CONVID_147107025
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/83650
dc.description.abstract	We study the behavior of Lipschitz functions on intrinsic C1 submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We also provide two applications: a Lusin-type approximation of Lipschitz functions on H-rectifiable sets and a coarea formula on H-rectifiable sets that completes the program started in [18].	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Oxford University Press (OUP)
dc.relation.ispartofseries	International Mathematics Research Notices
dc.rights	CC BY 4.0
dc.title	Lipschitz Functions on Submanifolds of Heisenberg Groups
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202210244961
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	7399-7422
dc.relation.issn	1073-7928
dc.relation.numberinseries	9
dc.relation.volume	2023
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2022. Published by Oxford University Press.
dc.rights.accesslevel	openAccess	fi
dc.relation.grantnumber	322898
dc.subject.yso	differentiaaligeometria
dc.subject.yso	Lien ryhmät
dc.subject.yso	ryhmäteoria
dc.subject.yso	monistot
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p39641
jyx.subject.uri	http://www.yso.fi/onto/yso/p12497
jyx.subject.uri	http://www.yso.fi/onto/yso/p28181
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1093/imrn/rnac066
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	This work was supported by University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New”; the Simons Foundation [grant 601941 to A. J.]; the Academy of Finland [grants 322898 “Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory” and 314172 “Quantitative rectifiability in Euclidean and non-Euclidean spaces” to S. N. G.]; FFABR 2017 of MIUR (Italy); and GNAMPA of INdAM (Italy) to [D. V.].
dc.type.okm	A1