Weighted composition operators from weighted bergman spaces to weighted-type spaces on the upper half-plane

Abstract

Let be a holomorphic mapping on the upper half-plane π+ = {z:Jz > 0 } and be a holomorphic self-map of +. We characterize bounded weighted composition operators acting from the weighted Bergman space to the weighted-type space on the upper half-plane. Under a mild condition on , we also characterize the compactness of these operators.