First we define and study the generalized bounded mean ossilation space Bmo α associated with the Riemann-Liouville operator R α . Next we prove the duality between Bmo α and the genralized Hardy space H 1 α associated with R α . Mathematics subject classification (2020): 30H10, 30H35, 42A38.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.