For a simply connected domain G properly contained in C, we apply the results of [3] and [8] to extend the results of [9] to Bergman spaces of simply connected domains A p (G). As a corollary to these results, we present characterizations of compactness of bounded composition operators on A p (G) and give an example illustrating the main results.
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.