Martingale Morrey-Hardy and Campanato-Hardy Spaces. (20th October 2013)

• Record Type: Journal Article
• Authors: Nakai, Eiichi; Sadasue, Gaku; Sawano, Yoshihiro
• Other Names: Samko Natasha Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-10-20
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/690258
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We introduce generalized Morrey-Campanato spaces of martingales, which generalize both martingale Lipschitz spaces introduced by Weisz (1990) and martingale Morrey-Campanato spaces introduced in 2012. We also introduce generalized Morrey-Hardy and Campanato-Hardy spaces of martingales and study Burkholder-type equivalence. We give some results on the boundedness of fractional integrals of martingales on these spaces.