dc.contributor.author | Di Donato, Daniela | |
dc.contributor.author | Fässler, Katrin | |
dc.date.accessioned | 2021-06-08T11:53:04Z | |
dc.date.available | 2021-06-08T11:53:04Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Di Donato, D., & Fässler, K. (2022). Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups. <i>Annali di Matematica Pura ed Applicata</i>, <i>201</i>(1), 453-486. <a href="https://doi.org/10.1007/s10231-021-01124-3" target="_blank">https://doi.org/10.1007/s10231-021-01124-3</a> | |
dc.identifier.other | CONVID_96694271 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/76357 | |
dc.description.abstract | This note concerns low-dimensional intrinsic Lipschitz graphs, in the sense of Franchi, Serapioni, and Serra Cassano, in the Heisenberg group Hn, n∈N. For 1⩽k⩽n, we show that every intrinsic L-Lipschitz graph over a subset of a k-dimensional horizontal subgroup V of Hn can be extended to an intrinsic L′-Lipschitz graph over the entire subgroup V, where L′ depends only on L, k, and n. We further prove that 1-dimensional intrinsic 1-Lipschitz graphs in Hn, n∈N, admit corona decompositions by intrinsic Lipschitz graphs with smaller Lipschitz constants. This complements results that were known previously only in the first Heisenberg group H1. The main difference to this case arises from the fact that for 1⩽k | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Annali di Matematica Pura ed Applicata | |
dc.rights | CC BY 4.0 | |
dc.subject.other | Heisenberg groups | |
dc.subject.other | Lipschitz extension | |
dc.subject.other | corona decomposition | |
dc.subject.other | low-dimensional intrinsic Lipschitz graphs | |
dc.title | Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202106083571 | |
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 | 453-486 | |
dc.relation.issn | 0373-3114 | |
dc.relation.numberinseries | 1 | |
dc.relation.volume | 201 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2021 the Authors | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 321696 | |
dc.subject.yso | mittateoria | |
dc.subject.yso | matemaattinen analyysi | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p13386 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p19485 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s10231-021-01124-3 | |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Suomen Akatemia | fi |
jyx.fundingprogram | Academy Research Fellow, AoF | en |
jyx.fundingprogram | Akatemiatutkija, SA | fi |
jyx.fundinginformation | Open access funding provided by Scuola Internazionale Superiore di Studi Avanzati - SISSA within the CRUI-CARE Agreement. | |
dc.type.okm | A1 | |