Product-Type Operators From Weighted Bergman-Orlicz Spaces to Weighted Zygmund Spaces

Abstract

Abstract. Let D = {z ∈ C : |z| < 1} be the open unit disk in the complex plane C, ϕ an analytic self-map of D and ψ an analytic function in D. Let D be the differentiation operator and W ϕ,ψ the weighted composition operator. The boundedness and compactness of the product-type operator W ϕ,ψ D from the weighted Bergman-Orlicz space to the weighted Zygmund space on D are characterized.