Abstract:We characterize a four-weight inequality involving the Hardy operator and the Copson operator. More precisely, given p1, p2, q1, q2 ∈ (0, ∞), we find necessary and sufficient conditions on nonnegative measurable functions u1, u2, v1, v2 on (0, ∞) for which there exists a positive constant c such that the inequalityand classical Lorentz spaces of type Λ.2000 Mathematics Subject Classification. 26D10, 46E20.
Set email alert for when this publication receives citations?
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.