| dc.contributor.author | Deringoz, Fatih | |
| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Samko, Stefan | |
| dc.date.accessioned | 2019-11-24T20:57:39Z | |
| dc.date.available | 2019-11-24T20:57:39Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1239-629X | |
| dc.identifier.issn | 1798-2383 | |
| dc.identifier.uri | https://dx.doi.org/10.5186/aasfm.2015.4029 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2762 | |
| dc.description | WOS: 000359879800002 | en_US |
| dc.description.abstract | We prove the boundedness of the Hardy-Littlewood maximal operator and their commutators with BMO-coefficients in vanishing generalized Orlicz-Morrey spaces VM Phi,phi(R-n) including weak versions of these spaces. The main advance in comparison with the existing results is that we manage to obtain conditions for the boundedness not in integral terms but in less restrictive terms of supremal operators involving the Young function Phi(u) and the function phi(x, r) defining the space. No kind of monotonicity condition on phi(x, r) in r is imposed. | en_US |
| dc.description.sponsorship | Ahi Evran UniversityAhi Evran University [PYO.FEN.4003.13.003, PYO.FEN.4001.14.017]; Science Development Foundation under Republic of AzerbaijanScience Development Foundation (SDF) - Azerbaijan [EIF-2013-9(15)-46/10/1]; Russian Fund of Basic ResearchRussian Foundation for Basic Research (RFBR) [15-01-02732] | en_US |
| dc.description.sponsorship | The research of V. Guliyev and F. Deringoz was partially supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4003.13.003) and (PYO.FEN.4001.14.017). The research of V. Guliyev is 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. In the case of S. Samko the research was supported by the grant no. 15-01-02732 of Russian Fund of Basic Research. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SUOMALAINEN TIEDEAKATEMIA | en_US |
| dc.relation.isversionof | 10.5186/aasfm.2015.4029 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Vanishing generalized Orlicz-Morrey space | en_US |
| dc.subject | Hardy-Littlewood maximal operator | en_US |
| dc.subject | singular integral operators | en_US |
| dc.subject | commutator | en_US |
| dc.subject | BMO | en_US |
| dc.title | BOUNDEDNESS OF THE MAXIMAL OPERATOR AND ITS COMMUTATORS ON VANISHING GENERALIZED ORLICZ-MORREY SPACES | en_US |
| dc.type | article | en_US |
| dc.relation.journal | ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 40 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 535 | en_US |
| dc.identifier.endpage | 549 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
