Publication
Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators
| dc.contributor.author | Samko, Stefan | |
| dc.contributor.author | Vakulov, B. | |
| dc.date.accessioned | 2018-12-07T14:58:06Z | |
| dc.date.available | 2018-12-07T14:58:06Z | |
| dc.date.issued | 2005-10 | |
| dc.description.abstract | We prove Sobolev-type p((.)) -> q ((.))-theorems for the Riesz potential operator I-alpha in the weighted Lebesgue generalized spaces L-p(.)(R-n, p) with the variable exponent p (x) and a two-parametrical power weight fixed to an arbitrary finite point and to infinity, as well as similar theorems for a spherical analogue of the Riesz potential operator in the corresponding weighted spaces L-p(.)(S-n, p) on the unit sphere S-n in Rn+1. (c) 2005 Elsevier Inc. All rights reserved. | |
| dc.description.sponsorship | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1016/j.jmaa.2005.02.002 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/11861 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Generalized Lebesgue | |
| dc.subject | Fractional integrals | |
| dc.subject | Spaces | |
| dc.subject | Convolution | |
| dc.subject | Weighted Lebesgue spaces | |
| dc.subject | Variable exponent | |
| dc.subject | Riesz potentials | |
| dc.subject | Spherical potentials | |
| dc.subject | Stereographical projection | |
| dc.title | Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 246 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 229 | |
| oaire.citation.title | Journal of Mathematical Analysis and Applications | |
| oaire.citation.volume | 310 | |
| 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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