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Fractional operators of variable order from variable exponent Morrey spaces to variable exponent Campanato spaces on quasi-metric measure spaces with growth condition
| dc.contributor.author | Rafeiro, Humberto | |
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2021-10-11T20:15:40Z | |
| dc.date.available | 2021-10-11T20:15:40Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | We study fractional potential of variable order on a bounded quasi-metric measure space (X, d, mu) as acting from variable exponent Morrey space L-p(center dot),L-lambda(center dot)(X) to variable exponent Campanato space L-p(center dot),L-lambda(center dot)(X). We assume that the measure satisfies the growth condition mu B(x,r) <= Cr-gamma, the distance is theta-regular in the sense of Macias and Segovia, but do not assume that the space (X, d, mu) is homogeneous. We study the situation when gamma - lambda(x) <= alpha(x)p(x) <= gamma-lambda(x) + theta p(x), and pay special attention to the cases of bounds of this interval. The left bound formally corresponds to the BMO target space. In the case of right bound a certain "correcting factor" of logarithmic type should be introduced in the target Campanato space. | pt_PT |
| dc.description.sponsorship | United Arab Emirates University, Al Ain, United Arab Emirates via Grant G00002994;Russian Foundation for Basic Research (RFBR) 19-01-00223 20-51-46003;Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/s11587-021-00639-4 | pt_PT |
| dc.identifier.issn | 0035-5038 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/17217 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.subject | Fractional operator | pt_PT |
| dc.subject | Morrey space | pt_PT |
| dc.subject | Campanato space | pt_PT |
| dc.subject | Quasi-metric measure space | pt_PT |
| dc.title | Fractional operators of variable order from variable exponent Morrey spaces to variable exponent Campanato spaces on quasi-metric measure spaces with growth condition | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.title | Ricerche di Matematica | pt_PT |
| 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 | restrictedAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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