dc.contributor.author | Pasqualetto, Enrico | |
dc.date.accessioned | 2022-03-21T10:00:47Z | |
dc.date.available | 2022-03-21T10:00:47Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Pasqualetto, E. (2022). Testing the Sobolev property with a single test plan. <i>Studia Mathematica</i>, <i>264</i>, 149-179. <a href="https://doi.org/10.4064/sm200630-24-8" target="_blank">https://doi.org/10.4064/sm200630-24-8</a> | |
dc.identifier.other | CONVID_104559483 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/80260 | |
dc.description.abstract | We prove that on an arbitrary metric measure space the following property holds: a single test plan can be used to recover the minimal weak upper gradient of any Sobolev function. This means that, in order to identify which are the exceptional curves in the weak upper gradient inequality, it suffices to consider the negligible sets of a suitable Borel measure on curves, rather than the ones of the p-modulus. Moreover, on RCD spaces we can improve our result, showing that the test plan can also be chosen to be concentrated on an equi-Lipschitz family of curves. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Institute of Mathematics, Polish Academy of Sciences | |
dc.relation.ispartofseries | Studia Mathematica | |
dc.rights | In Copyright | |
dc.subject.other | Sobolev space | |
dc.subject.other | test plan | |
dc.subject.other | RCD space | |
dc.title | Testing the Sobolev property with a single test plan | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202203211955 | |
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 | 149-179 | |
dc.relation.issn | 0039-3223 | |
dc.relation.volume | 264 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © Instytut Matematyczny PAN, 2022 | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 307333 HY | |
dc.relation.grantnumber | 314789 | |
dc.relation.grantnumber | 274372 | |
dc.relation.grantnumber | 312488 | |
dc.subject.yso | funktionaalianalyysi | |
dc.subject.yso | differentiaaligeometria | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.4064/sm200630-24-8 | |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Research Council of Finland | en |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
dc.relation.funder | Suomen Akatemia | fi |
jyx.fundingprogram | Centre of Excellence, AoF | en |
jyx.fundingprogram | Academy Project, AoF | en |
jyx.fundingprogram | Academy Research Fellow, AoF | en |
jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
jyx.fundingprogram | Akatemiahanke, SA | fi |
jyx.fundingprogram | Akatemiatutkija, SA | fi |
jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
jyx.fundinginformation | This research has been supported by the Academy of Finland, projects 274372, 307333, 312488, and 314789. | |
dc.type.okm | A1 | |