| dc.contributor.author | Ibrahimov, Elman J. | |
| dc.contributor.author | Akbulut, Ali | |
| dc.date.accessioned | 2019-11-24T20:57:36Z | |
| dc.date.available | 2019-11-24T20:57:36Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 2346-8092 | |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.trmi.2016.05.004 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2725 | |
| dc.description | WOS: 000405167200002 | en_US |
| dc.description.abstract | In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator G(gimel) = (x(2) - 1)(1/2) (-gimel) d/dx (x(2) - 1)(gimel) (+) (1/2) d/dx. The L-p,L-gimel boundedness of the G-maximal operator is obtained. Hardy-Littlewood-Sobolev theorem of G-Riesz potential on L-p,L-gimel spaces is established. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. | en_US |
| dc.description.sponsorship | grant of the Presidium of Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | The author was supported by the grant of the Presidium of Azerbaijan National Academy of Science 2015. The authors are grateful to the referee for very valuable comments. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | ELSEVIER SCIENCE BV | en_US |
| dc.relation.isversionof | 10.1016/j.trmi.2016.05.004 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | G-Riesz potential | en_US |
| dc.subject | G-maximal function | en_US |
| dc.subject | G-BMO space | en_US |
| dc.title | The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator | en_US |
| dc.type | article | en_US |
| dc.relation.journal | TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 170 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 166 | en_US |
| dc.identifier.endpage | 199 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
