| dc.contributor.author | Akbulut, Ali | |
| dc.contributor.author | Hamzayev, Vugar H | |
| dc.contributor.author | Safarov, Zaman V | |
| dc.date.accessioned | 2019-11-24T20:57:38Z | |
| dc.date.available | 2019-11-24T20:57:38Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.uri | https://dx.doi.org/10.1186/s13660-015-0751-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2752 | |
| dc.description | WOS: 000358613800002 | en_US |
| dc.description.abstract | We consider the boundedness of fractional multilinear integral operators with rough kernels T-A,T-m,(omega alpha) on the generalized Morrey spaces M-p,M-phi. We find the sufficient conditions on the pair (phi 1,phi 2), which ensures the boundedness of the operators T-A,T-m ,(omega alpha) from Mp,phi 1 to Mp,phi 2 for 1 < p < infinity. In all cases the conditions for the boundedness of the operator T-A,T-m (omega,alpha) is given in terms of Zygmund-type integral inequalities on (phi 1,phi 2), which do not make any assumption on the monotonicity of phi 1(x,r), phi 2(x,r) in r. | en_US |
| dc.description.sponsorship | Ahi Evran University Scientific Research ProjectsAhi Evran University [PYO.FEN.4003.13.004, PYO.FEN.4001.14.006]; Presidium Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | The authors are very grateful to the referees for their careful reading, comments, and suggestions, which helped us improve the presentation of this paper. The research of A Akbulut was partially supported by a grant of Ahi Evran University Scientific Research Projects PYO.FEN.4003.13.004 and PYO.FEN.4001.14.006. The research of Z Safarov was partially supported by a grant of Presidium Azerbaijan National Academy of Science 2015. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGEROPEN | en_US |
| dc.relation.isversionof | 10.1186/s13660-015-0751-z | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | fractional multilinear integral | en_US |
| dc.subject | rough kernel | en_US |
| dc.subject | BMO | en_US |
| dc.subject | generalized Morrey space | en_US |
| dc.title | Boundedness of rough fractional multilinear integral operators on generalized Morrey spaces | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF INEQUALITIES AND APPLICATIONS | 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 |
