Publication
Weighted Sobolev theorem in Lebesgue spaces with variable exponent
| dc.contributor.author | Samko, N. G. | |
| dc.contributor.author | Samko, Stefan | |
| dc.contributor.author | Vakulov, B. G. | |
| dc.date.accessioned | 2018-12-07T14:58:01Z | |
| dc.date.available | 2018-12-07T14:58:01Z | |
| dc.date.issued | 2007-11 | |
| dc.description.abstract | For the Riesz potential operator I-alpha there are proved weighted estimates [GRAPHICS] within the framework of weighted Lebesgue spaces L (P(center dot)) (Omega, omega) with variable exponent. In case Omega is a bounded domain, the order alpha = alpha (x) is allowed to be variable as well. The weight functions are radial type functions "fixed" to a finite point and/or to infinity and have a typical feature of Muckenhoupt-Wheeden weights: they may oscillate between two power functions. Conditions on weights are given in terms of their Boyd-type indices. An analogue of such a weighted estimate is also obtained for spherical potential operators on the unit sphere S-n subset of R-n. (c) 2007 Elsevier Inc. All rights reserved. | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1016/j.jmaa.2007.01.091 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/11813 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Spherical potential-operators | |
| dc.subject | Fractional integrals | |
| dc.subject | Maximal-function | |
| dc.subject | Convolution | |
| dc.title | Weighted Sobolev theorem in Lebesgue spaces with variable exponent | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 583 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 560 | |
| oaire.citation.title | Journal of Mathematical Analysis and Applications | |
| oaire.citation.volume | 335 | |
| 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 | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4 |
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