ノイ　タカヒロ   Noi Takahiro   野井　貴弘    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   講師
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