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

Abstract

Let D be the open unit disk in the complex plane, φ an analytic self-map of D and ψ an analytic function on D. Let Dn be the nth differentiation operator and Wφ,ψ the weighted composition operator. In this paper the boundedness and compactness of the generalized product-type operators DnWφ,ψ and Wφ,ψDn from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces are characterized.