Let / be holomorphic in the unit ball of C n . Several equivalent criteria for / to belong to the Hardy space H? as well as the weighted Bergman space A\, 0
0, of the ball are established. In the one variable case, some of the above conditions reduce to those of Yamashita, characterizing Hardy spaces of the unit disk. In addition, various identities for the norm of /, in terms of a certain integrated counting function and certain Lusin characteristics, are obtained.
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.