| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Ekincioglu, Ismail | |
| dc.contributor.author | Nazirova, Sh A. | |
| 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/s13660-015-0584-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2756 | |
| dc.description | WOS: 000350676600002 | en_US |
| dc.description.abstract | In this paper, we prove the O'Neil inequality for the k-linear convolution operator in the Lorentz spaces. As an application, we obtain the necessary and sufficient conditions on the parameters for the boundedness of the k-sublinear fractional maximal operator M-Omega,M-alpha(f) and the k-linear fractional integral operator /(Omega,alpha)(f) with rough kernels from the spaces L-p1r1 x L-p2r2 x center dot center dot center dot x L-pkrk to L-qs, where n/(n + alpha) <= p < q < infinity, 0 < r <= s < infinity, p is the harmonic mean of p(1), p(2),..,p(k) > 1 and r is the harmonic mean of r(1),r(2),...,r(k) >0. | en_US |
| dc.description.sponsorship | Science Development Foundation under the Republic of AzerbaijanScience Development Foundation (SDF) - Azerbaijan [EIF-2014-9(15)-46/10/1]; Presidium of Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | The research of V Guliyev was partially supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan, Grant EIF-2014-9(15)-46/10/1 and by the grant of Presidium of Azerbaijan National Academy of Science 2015. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | en_US |
| dc.relation.isversionof | 10.1186/s13660-015-0584-9 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | O'Neil inequality | en_US |
| dc.subject | k-linear convolution | en_US |
| dc.subject | rearrangement estimate | en_US |
| dc.subject | k-sublinear fractional maximal function | en_US |
| dc.subject | k-linear fractional integral | en_US |
| dc.subject | harmonic mean | en_US |
| dc.subject | Lorentz space | en_US |
| dc.title | The Lp1r1 x Lp2r2 x center dot center dot center dot x L-pkrk boundedness of rough multilinear fractional integral operators in the Lorentz 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 |
