| dc.contributor.author | Aykol, Canay | |
| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Serbetci, Ayhan | |
| dc.date.accessioned | 2019-11-24T20:57:42Z | |
| dc.date.available | 2019-11-24T20:57:42Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.uri | https://dx.doi.org/10.1186/1029-242X-2013-346 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2795 | |
| dc.description | WOS: 000323664200006 | en_US |
| dc.description.abstract | In this paper we define a new class of functions called local Morrey-Lorentz spaces M-p,q;lambda(loc)(R-n), 0 < p,q <= infinity and 0 <= lambda <= 1. These spaces generalize Lorentz spaces such that M-p,q;0(loc) (R-n) = L-p,L-q(R-n). We show that in the case lambda < 0 or lambda > 1, the space M-p,q;lambda(loc) (R-n) is trivial, and in the limiting case lambda = 1, the space M-p,q;1(loc) (R-n) is the classical Lorentz space Lambda (infinity,t1/p - 1/q) (R-n). We show that for 0 < q <= p < infinity and 0 < lambda <= q/p, the local Morrey-Lorentz spaces M-p,q;lambda(loc) (R-n) are equal to weak Lebesgue spaces WL1/p-lambda/q (R-n). We get an embedding between local Morrey-Lorentz spaces and Lorentz-Morrey spaces. Furthermore, we obtain the boundedness of the maximal operator in the local Morrey-Lorentz spaces. | en_US |
| dc.description.sponsorship | Turkish Scientific and Technological Research Council (TUBITAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [2211]; Ahi Evran University Scientific Research ProjectsAhi Evran University [PYO.FEN.4001.12.18] | en_US |
| dc.description.sponsorship | C Aykol was partially supported by the Turkish Scientific and Technological Research Council (TUBITAK, programme 2211). The research of VS Guliyev was supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4001.12.18). | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGEROPEN | en_US |
| dc.relation.isversionof | 10.1186/1029-242X-2013-346 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Morrey spaces | en_US |
| dc.subject | Lorentz spaces | en_US |
| dc.subject | Lorentz-Morrey spaces | en_US |
| dc.subject | local Morrey-Lorentz spaces | en_US |
| dc.subject | maximal operator | en_US |
| dc.title | Boundedness of the maximal operator in the local Morrey-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 |
