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

作者：Stevic Stevo^*; Sharma Ajay K

来源：Applied Mathematics and Computation, 2011, 218(7): 3574-3580.

DOI：10.1016/j.amc.2011.08.103

• Composition operator
• Differentiation operator
• Weighted BMOA space
• Bloch-type space
• Boundedness
• Compactness

Let phi be a holomorphic self-map of the open unit disk D and H(D) the class of holomorphic functions on D. For n is an element of N(0) define an operator by:
C(phi)D(n)f = f((n)) o phi, f is an element of H(D).
We characterize the boundedness and compactness of operator C(phi)D(n) from Bloch-type spaces to weighted BMOA spaces.