Generalized product-type operators from weighted Bergman-Orlicz spaces to Bloch-Orlicz spaces

摘要

Let be the open unit disk in the complex plane, phi an analytic self-map of D and psi an analytic function on B. Let D-n be the nth differentiation operator and W-phi psi the weighted composition operator. In this paper the boundedness and compactness of the generalized product-type operators D'W-phi psi and W-phi psi D-n from weighted Bergman-Orlicz spaces to Bloch-Orlicz spaces are characterized. (C) 2015 Elsevier Inc. All rights reserved.