| dc.contributor.author | Nuutinen, Juho | |
| dc.date.accessioned | 2016-12-20T10:15:12Z | |
| dc.date.available | 2016-12-20T10:15:12Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Nuutinen, J. (2016). The Besov capacity in metric spaces. <i>Annales Polonici Mathematici</i>, <i>117</i>(1), 59-78. <a href="https://doi.org/10.4064/ap3843-4-2016" target="_blank">https://doi.org/10.4064/ap3843-4-2016</a> | |
| dc.identifier.other | CONVID_26130717 | |
| dc.identifier.other | TUTKAID_70728 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/52475 | |
| dc.description.abstract | We study a capacity theory based on a definition of Hajłasz–Besov functions.
We prove several properties of this capacity in the general setting of a metric space
equipped with a doubling measure. The main results of the paper are lower bound and
upper bound estimates for the capacity in terms of a modified Netrusov–Hausdorff content.
Important tools are γ-medians, for which we also prove a new version of a Poincaré
type inequality. | |
| dc.language.iso | eng | |
| dc.publisher | Polska Akademia Nauk | |
| dc.relation.ispartofseries | Annales Polonici Mathematici | |
| dc.subject.other | Besov spaces | |
| dc.title | The Besov capacity in metric spaces | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201608023719 | |
| 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 | 2016-08-02T15:15:03Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 59-78 | |
| dc.relation.issn | 0066-2216 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 117 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Instytut Matematyczny PAN, 2016. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | kapasiteetti | |
| dc.subject.yso | metriset avaruudet | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p16078 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27753 | |
| dc.relation.doi | 10.4064/ap3843-4-2016 | |
| dc.type.okm | A1 | |
