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
言語種別	英語
発行・発表の年月	2017
形態種別	論文
査読	査読あり
標題	Generalized Morrey Spaces - Revisited
執筆形態	共著・編著（代表編著を除く）
掲載誌名	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
掲載区分	国外
出版社・発行元	EUROPEAN MATHEMATICAL SOC
巻・号・頁	36(1),pp.17-35
著者・共著者	Ali Akbulut,Vagif Sabir Guliyev,Takahiro Noi,Yoshihiro Sawano
概要	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.
DOI	10.4171/ZAA/1577
ISSN	0232-2064/1661-4534