Orlicz-Hardy spaces and their duals

• Published in: Science China. Mathematics Vol. 57; no. 5; pp. 903 - 962
• Main Authors: Nakai, Eiichi, Sawano, Yoshihiro
• Format: Journal Article
• Language: English
• Published: Heidelberg Science China Press 01.05.2014
• Subjects: Applications of Mathematics; China; Functions (mathematics); Hardy空间; Infinity; Integrals; Mathematical analysis; Mathematics; Mathematics and Statistics; N-函数; Operators; Texts; Transforms; 允许函数; 原子分解; 对偶; 有界性; 生成子; 空间理论; atomic decomposition; 42B35; 42B30; 46E30; bounded mean oscillation; Campanato space; Orlicz space; Hardy space

We establish the theory of Orlicz-Hardy spaces generated by a wide class of functions.The class will be wider than the class of all the N-functions.In particular,we consider the non-smooth atomic decomposition.The relation between Orlicz-Hardy spaces and their duals is also studied.As an application...