Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane

Let psi be a holomorphic mapping on the upper half-plane Pi(+) = {z is an element of C : Jz > 0} and phi be a holomorphic self-map of Pi(+). 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 psi, we also characterize the compactness of these operators.