| 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/1582 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2713 | |
| dc.description | WOS: 000400674200001 | en_US |
| dc.description.abstract | This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17-35]. We propose a way to consider the decomposition method of generalized Hardy Morrey spaces. Generalized HardyMorrey spaces emerged from generalized Morrey spaces. By means of the grand maximal operator and the norm of generalized Morrey spaces, we can define generalized Hardy-Morrey spaces. With what we have culminated for the Hardy-Littlewood maximal operator, we can easily refine the existing results. As an application, we consider bilinear estimates, which is the "so-called" Olsen inequality. In particular, our results complement the one in the 2014 paper by Iida, the fourth author and Tanaka [Z. Anal. Anwend. 33 (2014)(2), 149-170]; there were two mistakes. One lies in the decomposition result and another lies in the proof of the Olsen inequality. | 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); Ahi Evran University Scientific Research ProjectsAhi Evran University [PYO.FEN.4001.14.006]; Ahi Evran UniversityAhi Evran University; Beijing Normal University | 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. The authors are indepted to Mr. Shohei Nakamura for his hint to improve (11). The authors thank Professor Mitsuo Izuki in Okayama University for his careful reading of this paper. Finally the authors are thankful to the anonymous referee and Professor Jie Xia of or his fruitful discussion that led us to consider Remarks 3.2 and 4.3, respectively | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | EUROPEAN MATHEMATICAL SOC | en_US |
| dc.relation.isversionof | 10.4171/ZAA/1582 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized Hard-Morrey spaces | en_US |
| dc.subject | decomposition | en_US |
| dc.subject | maximal operators | en_US |
| dc.subject | Olsen inequality | en_US |
| dc.title | Generalized Hardy-Morrey Spaces | 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 | 2 | en_US |
| dc.identifier.startpage | 129 | en_US |
| dc.identifier.endpage | 149 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
