Iterated differentiation followed by composition from Bloch-type spaces to weighted BMOA spaces

摘要

Let φ be a holomorphic self-map of the open unit disk D and H(D) the class of holomorphic functions on D. For n∈N0 define an operator by:CφDnf=f(n)∘φ,f∈H(D).We characterize the boundedness and compactness of operator CφDn from Bloch-type spaces to weighted BMOA spaces.