| dc.contributor.author | Akbulut, Ali | |
| dc.contributor.author | Guliyev, Vagif Sabir | |
| dc.contributor.author | Noi, Takahiro | |
| dc.contributor.author | Sawano, Yoshihiro | |
| dc.date.accessioned | 2019-11-24T20:57:35Z | |
| dc.date.available | 2019-11-24T20:57:35Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0232-2064 | |
| dc.identifier.issn | 1661-4534 | |
| dc.identifier.uri | https://dx.doi.org/10.4171/ZAA/1577 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2718 | |
| dc.description | WOS: 000396573400002 | en_US |
| dc.description.abstract | The generalized Morrey space M-p,M-phi(R-n) was defined by Mizuhara 1991 and Nakai in 1994. It is equipped with a parameter 0 < p < infinity and a function phi : R-n x (0, infinity) -> (0, infinity). Our experience shows that M-p,M-phi(R-n) is easy to handle when 1 < p < infinity. However, when 0 < p <= 1, the function space M-p,M-phi(R-n) is difficult to handle as many examples show. We propose a way to deal with M-p,M-phi(R-n) for 0 < p <= 1, in particular, to obtain some estimates of the Hardy-Littlewood maximal operator on these spaces. Especially, the vector-valued estimates obtained in the earlier papers are refined. The key tool is the weighted dual Hardy operator. Much is known on the weighted dual Hardy operator. | en_US |
| dc.description.sponsorship | grant of Science Development Foundation under the President of the Republic of AzerbaijanScience Development Foundation (SDF) - Azerbaijan [EIF-2013-9(15)-46/10/1]; grant of Presidium Azerbaijan National Academy of ScienceAzerbaijan National Academy of Sciences (ANAS); grant of Ahi Evran University Scientific Research Projects [PYO.FEN.4001.14.006] | 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. A. Akbulut was partially supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4001.14.006). This paper is written during the stay of Y. Sawano in Ahi Evran University and Beijing Normal University. Y. Sawano is thankful to Ahi Evran University and Beijing Normal University for this support of the stay there. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | EUROPEAN MATHEMATICAL SOC | en_US |
| dc.relation.isversionof | 10.4171/ZAA/1577 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | generalized Morrey spaces | en_US |
| dc.subject | decomposition | en_US |
| dc.subject | maximal operators | en_US |
| dc.title | Generalized Morrey Spaces - Revisited | en_US |
| dc.type | article | en_US |
| dc.relation.journal | ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 36 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 17 | en_US |
| dc.identifier.endpage | 35 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
