| dc.contributor.author | Aykol, C. | |
| dc.contributor.author | Guliyev, V. S. | |
| dc.contributor.author | Kucukaslan, A. | |
| dc.contributor.author | Serbetci, A. | |
| dc.date.accessioned | 2019-11-24T20:57:36Z | |
| dc.date.available | 2019-11-24T20:57:36Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1065-2469 | |
| dc.identifier.issn | 1476-8291 | |
| dc.identifier.uri | https://dx.doi.org/10.1080/10652469.2015.1121483 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2733 | |
| dc.description | WOS: 000371347600006 | en_US |
| dc.description.abstract | In this paper, we investigate the boundedness of the Hilbert transform H in the local Morrey-Lorentz spaces [GRAPHICS] , [GRAPHICS] , [GRAPHICS] . We prove that the operator H is bounded in [GRAPHICS] under the condition [GRAPHICS] , [GRAPHICS] . In the limiting case [GRAPHICS] , [GRAPHICS] , we prove that the operator H is bounded from the space [GRAPHICS] to the weak local Morrey-Lorentz space [GRAPHICS] . Also we show that for the limiting case [GRAPHICS] , [GRAPHICS] , the modified Hilbert transform [GRAPHICS] is bounded from the space [GRAPHICS] to the bounded mean oscillation space. | en_US |
| dc.description.sponsorship | Science Development Foundation under Republic of AzerbaijanScience Development Foundation (SDF) - Azerbaijan [EIF-2013-9(15)-46/10/1]; Presidium Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS) | en_US |
| dc.description.sponsorship | The research of V.S. Guliyev was partially supported by the grant of Science Development Foundation under the President of the Republic of Azerbaijan, Grant EIF-2013-9(15)-46/10/1 and by the grant of Presidium Azerbaijan National Academy of Science 2015. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | TAYLOR & FRANCIS LTD | en_US |
| dc.relation.isversionof | 10.1080/10652469.2015.1121483 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | 42B20 | en_US |
| dc.subject | 42B35 | en_US |
| dc.subject | 47G10 | en_US |
| dc.subject | Local Morrey-Lorentz spaces | en_US |
| dc.subject | Hilbert transform | en_US |
| dc.subject | Hardy operator | en_US |
| dc.subject | modified Hilbert transform | en_US |
| dc.title | The boundedness of Hilbert transform in the local Morrey-Lorentz spaces | en_US |
| dc.type | article | en_US |
| dc.relation.journal | INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 27 | en_US |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 318 | en_US |
| dc.identifier.endpage | 330 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
