Let be a holomorphic mapping on the upper half-plane 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.
Stevo Stević. Ajay K. Sharma. S. D. Sharma. "Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane." Abstr. Appl. Anal. 2011 1 - 10, 2011. https://doi.org/10.1155/2011/989625