Publication
Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2021-06-24T11:35:51Z | |
| dc.date.available | 2021-06-24T11:35:51Z | |
| dc.date.issued | 2020-03 | |
| dc.description.abstract | We show that the fractional operator I-alpha(center dot), of variable order on a bounded open set in Omega, in a quasimetric measure space (X, d, mu) in the case alpha(x)p(x) = n (where n comes from the growth condition on the measure mu), is bounded from the variable exponent Lebesgue space L-p(center dot)(Omega) into BMO(Omega) under certain assumptions on p(x) and alpha(x). | |
| dc.description.sponsorship | Russian Fund of Basic ResearchRussian Foundation for Basic Research (RFBR) [15-01-02732] | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1515/gmj-2018-0047 | |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/16553 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | De Gruyter | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Riesz potential | |
| dc.subject | Variable exponent spaces | |
| dc.subject | Sobolev type theorem | |
| dc.subject | BMO results | |
| dc.subject | Quasimetric measure space | |
| dc.subject.other | Mathematics | |
| dc.title | Variable exponent fractional integrals in the limiting case alpha(x)p(x) equivalent to n on quasimetric measure spaces | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 164 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 157 | |
| oaire.citation.title | Georgian Mathematical Journal | |
| oaire.citation.volume | 27 | |
| person.familyName | Samko | |
| person.givenName | Stefan | |
| person.identifier.orcid | 0000-0002-8022-2863 | |
| person.identifier.rid | M-3726-2013 | |
| person.identifier.scopus-author-id | 6603416048 | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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