| dc.contributor.author | Ihnatsyeva, Lizaveta | |
| dc.contributor.author | Lehrbäck, Juha | |
| dc.contributor.author | Tuominen, Heli | |
| dc.contributor.author | Vähäkangas, Antti | |
| dc.date.accessioned | 2015-12-14T12:13:04Z | |
| dc.date.available | 2015-12-14T12:13:04Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Ihnatsyeva, L., Lehrbäck, J., Tuominen, H., & Vähäkangas, A. (2014). Fractional Hardy inequalities and visibility of the boundary. <i>Studia mathematica</i>, <i>224</i>(1), 47-80. <a href="https://doi.org/10.4064/sm224-1-3" target="_blank">https://doi.org/10.4064/sm224-1-3</a> | |
| dc.identifier.other | CONVID_23990633 | |
| dc.identifier.other | TUTKAID_63726 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/48091 | |
| dc.description.abstract | We prove fractional order Hardy inequalities on open sets under a
combined fatness and visibility condition on the boundary. We demonstrate by
counterexamples that fatness conditions alone are not sufficient for such Hardy
inequalities to hold. In addition, we give a short exposition of various fatness
conditions related to our main result, and apply fractional Hardy inequalities in
connection to the boundedness of extension operators for fractional Sobolev spaces. | |
| dc.language.iso | eng | |
| dc.publisher | Polska Akademia Nauk | |
| dc.relation.ispartofseries | Studia mathematica | |
| dc.subject.other | fractional Hardy inequalities | |
| dc.subject.other | visibility of the boundary | |
| dc.title | Fractional Hardy inequalities and visibility of the boundary | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201512144005 | |
| 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 | 2015-12-14T10:15:08Z | |
| dc.type.coar | journal article | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 47-80 | |
| dc.relation.issn | 0039-3223 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 224 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © Polska Akademia Nauk 2014. This is a final draft version of an article whose final and definitive form has been published by Polska Akademia Nauk. Published in this repository with the kind permission of the publisher. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.doi | 10.4064/sm224-1-3 | |
