| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Deringoz, Fatih | |
| dc.date.accessioned | 2019-11-24T20:57:40Z | |
| dc.date.available | 2019-11-24T20:57:40Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 2314-8896 | |
| dc.identifier.issn | 2314-8888 | |
| dc.identifier.uri | https://dx.doi.org/10.1155/2014/617414 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2780 | |
| dc.description | WOS: 000332243500001 | en_US |
| dc.description.abstract | We consider generalized Orlicz-Morrey spaces M-Phi,M-phi(R-n) including their weak versions WM Phi,phi(R-n). In these spaces we prove the boundedness of the Riesz potential from M-Phi,M-phi 1(R-n) to M-Psi,M-phi 2(R-n) and from M-Phi,M-phi 1(R-n) to WM Psi,phi 2(R-n). As applications of those results, the boundedness of the commutators of the Riesz potential on generalized Orlicz-Morrey space is also obtained. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on (phi(1), phi(2)), which do not assume any assumption on monotonicity of phi(1)(x, r), phi(2)(x, r) in r. | en_US |
| dc.description.sponsorship | Ahi Evran UniversityAhi Evran University [PYO.FEN.4003.13.003, PYO.FEN.4003-2.13.007] | en_US |
| dc.description.sponsorship | The authors would like to express their gratitude to the referees for their very valuable comments and suggestions. The research of Vagif S. Guliyev and Fatih Deringoz was partially supported by the Grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4003.13.003) and (PYO.FEN.4003-2.13.007). | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | HINDAWI LTD | en_US |
| dc.relation.isversionof | 10.1155/2014/617414 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | On the Riesz Potential and Its Commutators on Generalized Orlicz-Morrey Spaces | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF FUNCTION SPACES | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
