Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains
| dc.contributor.author | Mohanta, Kaushik | |
| dc.date.accessioned | 2024-01-19T07:05:13Z | |
| dc.date.available | 2024-01-19T07:05:13Z | |
| dc.date.issued | 2024 | |
| dc.identifier.citation | Mohanta, K. (2024). Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains. <i>Calculus of Variations and Partial Differential Equations</i>, <i>63</i>(2), Article 31. <a href="https://doi.org/10.1007/s00526-023-02637-w" target="_blank">https://doi.org/10.1007/s00526-023-02637-w</a> | |
| dc.identifier.other | CONVID_197917460 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/92889 | |
| dc.description.abstract | Under certain restrictions on s, p, q, the Triebel-Lizorkin spaces can be viewed as generalised fractional Sobolev spaces Ws,p q . In this article, we show that the Bourgain-Brezis-Mironescu formula holds for Ws,p q -seminorms in arbitrary domain. This addresses an open question raised by Brazke-Schikorra-Yung (Calc Var Partial Differ Equ 62(2):41–33, (2023). | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Calculus of Variations and Partial Differential Equations | |
| dc.rights | CC BY 4.0 | |
| dc.title | Bourgain-Brezis-Mironescu formula for Ws,p q -spaces in arbitrary domains | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202401191385 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | 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.relation.issn | 0944-2669 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 63 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Author(s) 2024 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 323960 | |
| dc.subject.yso | harmoninen analyysi | |
| dc.subject.yso | funktionaalianalyysi | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p28124 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17780 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00526-023-02637-w | |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Research Council of Finland | en |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundinginformation | Open Access funding provided by University of Jyväskylä (JYU). The research is funded by Academy of Finland grant: Geometrinen Analyysi (21000046081). | |
| dc.type.okm | A1 |
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