A new Cartan-type property and strict quasicoverings when P = 1 in metric spaces
| dc.contributor.author | Lahti, Panu | |
| dc.date.accessioned | 2018-12-21T09:37:48Z | |
| dc.date.available | 2018-12-21T09:37:48Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Lahti, P. (2018). A new Cartan-type property and strict quasicoverings when P = 1 in metric spaces. <i>Annales Academiae Scientiarum Fennicae Mathematica</i>, <i>43</i>, 1027-1043. <a href="https://doi.org/10.5186/AASFM.2018.4364" target="_blank">https://doi.org/10.5186/AASFM.2018.4364</a> | |
| dc.identifier.other | CONVID_28719308 | |
| dc.identifier.other | TUTKAID_79504 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/60801 | |
| dc.description.abstract | In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove a new Cartan-type property for the fine topology in the case p = 1. Then we use this property to prove the existence of 1-finely open strict subsets and strict quasicoverings of 1-finely open sets. As an application, we study fine Newton–Sobolev spaces in the case p = 1, that is, Newton–Sobolev spaces defined on 1-finely open sets. | fi |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Suomalainen tiedeakatemia | |
| dc.relation.ispartofseries | Annales Academiae Scientiarum Fennicae Mathematica | |
| dc.rights | In Copyright | |
| dc.subject.other | metric measure space | |
| dc.subject.other | function of bounded variation | |
| dc.subject.other | fine topology | |
| dc.subject.other | Cartan property | |
| dc.subject.other | strict quasicovering | |
| dc.subject.other | fine Newton–Sobolev space | |
| dc.title | A new Cartan-type property and strict quasicoverings when P = 1 in metric spaces | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201812175159 | |
| 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.date.updated | 2018-12-17T10:15:29Z | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1027-1043 | |
| dc.relation.issn | 1239-629X | |
| dc.relation.numberinseries | 0 | |
| dc.relation.volume | 43 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author & Academia Scientiarum Fennica, 2018. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | funktioteoria | |
| dc.subject.yso | potentiaaliteoria | |
| dc.subject.yso | metriset avaruudet | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18494 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p18911 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.5186/AASFM.2018.4364 |
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