| dc.contributor.author | Guliyev, Vagif S. | |
| dc.contributor.author | Hasanov, Sabir G. | |
| dc.contributor.author | Sawano, Yoshihiro | |
| dc.contributor.author | Noi, Takahiro | |
| dc.date.accessioned | 2019-11-24T20:57:36Z | |
| dc.date.available | 2019-11-24T20:57:36Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0167-8019 | |
| dc.identifier.issn | 1572-9036 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/s10440-016-0052-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2724 | |
| dc.description | WOS: 000382700200006 | en_US |
| dc.description.abstract | We deal with the generalized Orlicz-Morrey space of the third kind and consider the decomposition method. Also we characterize its predual space. Some maximal estimates for generalized Orlicz-Morrey spaces of the third kind are also obtained by using the weighted Hardy operators. As an application, we consider the Olsen inequality, which is a bilinear estimate on the fractional integral operator. As an appendix, we consider a general form of the vector-valued boundedness of the Hardy-Littlewood maximal operator, where in the definition of depends on as well. This paper contains a remedy for the mistake in the proof of the Olsen inequality of the 2014 paper by the second author (Iida et al. in Z. Anal. Anwend. 33(2):149-170, 2014). | en_US |
| dc.description.sponsorship | Science Development Foundation under the President of the 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. 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. This paper is written during the stay of Y. Sawano in Ahi Evran University. Y. Sawano is thankful to Ahi Evran University for this support of the stay there. Y. Sawano is thankful to Professor Jie Xiao for his pointing out that (7.18) is correct under some restricted conditions. The authors are thankful to Professor Mitsuo Izuki at Okayama University for his careful reading of the manuscript. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER | en_US |
| dc.relation.isversionof | 10.1007/s10440-016-0052-7 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Orlicz-Morrey spaces | en_US |
| dc.subject | Atomic decomposition | en_US |
| dc.subject | Maximal operators | en_US |
| dc.title | Non-smooth Atomic Decompositions for Generalized Orlicz-Morrey Spaces of the Third Kind | en_US |
| dc.type | article | en_US |
| dc.relation.journal | ACTA APPLICANDAE MATHEMATICAE | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 145 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 133 | en_US |
| dc.identifier.endpage | 174 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
