Characterisation of upper gradients on the weighted Euclidean space and applications
| dc.contributor.author | Lučić, Danka | |
| dc.contributor.author | Pasqualetto, Enrico | |
| dc.contributor.author | Rajala, Tapio | |
| dc.date.accessioned | 2021-03-22T09:03:15Z | |
| dc.date.available | 2021-03-22T09:03:15Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Lučić, D., Pasqualetto, E., & Rajala, T. (2021). Characterisation of upper gradients on the weighted Euclidean space and applications. <i>Annali di Matematica Pura ed Applicata</i>, <i>200</i>(6), 2473-2513. <a href="https://doi.org/10.1007/s10231-021-01088-4" target="_blank">https://doi.org/10.1007/s10231-021-01088-4</a> | |
| dc.identifier.other | CONVID_51974407 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/74706 | |
| dc.description.abstract | In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| 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 | Sobolev space | |
| dc.subject.other | Weighted Euclidean space | |
| dc.subject.other | Decomposability bundle | |
| dc.title | Characterisation of upper gradients on the weighted Euclidean space and applications | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202103222043 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
| 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 | 2473-2513 | |
| dc.relation.issn | 0373-3114 | |
| dc.relation.numberinseries | 6 | |
| dc.relation.volume | 200 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2021 the Authors | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 314789 | |
| 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 | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s10231-021-01088-4 | |
| 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 | All authors are partially supported by the Academy of Finland, Project 314789. | |
| dc.type.okm | A1 |
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