Generalized weighted composition operators from Zygmund spaces to Bloch–Orlicz type spaces

摘要

Let D be the open unit disk in the complex plane C and H(D) the class of all analytic functions on D. Let φ be an analytic self-map of D and ψ∈H(D). In this paper the boundedness and compactness of the generalized weighted composition operator Dφ,ψnf=ψf(n)∘φ from the Zygmund space to the Bloch–Orlicz space and the little Bloch–Orlicz space are characterized.