ノイ タカヒロ
Noi Takahiro
野井 貴弘 所属 追手門学院大学 大学所属 職種 講師 |
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言語種別 | 英語 |
発行・発表の年月 | 2016/10 |
形態種別 | 論文 |
査読 | 査読あり |
標題 | Non-smooth Atomic Decompositions for Generalized Orlicz-Morrey Spaces of the Third Kind |
執筆形態 | 共著・編著(代表編著を除く) |
掲載誌名 | ACTA APPLICANDAE MATHEMATICAE |
掲載区分 | 国外 |
出版社・発行元 | SPRINGER |
巻・号・頁 | 145(1),pp.133-174 |
著者・共著者 | Vagif S. Guliyev,Sabir G. Hasanov,Yoshihiro Sawano,Takahiro Noi |
概要 | 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). |
DOI | 10.1007/s10440-016-0052-7 |
ISSN | 0167-8019/1572-9036 |