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

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 D φ , ψ n f = ψ f ( n ) ∘ φ from the Zygmund space to the Bloch–Orlicz space and the little Bloch–Orlicz space are characterized. [ABSTRACT FROM AUTHOR]