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 Hardy-Morrey Spaces
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(2),pp.129-149
著者・共著者	Ali Akbulut,Vagif Sabir Guliyev,Takahiro Noi,Yoshihiro Sawano
概要	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.
DOI	10.4171/ZAA/1582
ISSN	0232-2064/1661-4534