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 | |