WEIGHTED DIFFERENTIATION SUPERPOSITION OPERATOR FROM H∞ TO nth WEIGHTED-TYPE SPACE.

Let H(D) be the set of all analytic functions on the open unit disk D of C, u є H(D) and Φ an entire function on C. In this paper, we characterize the boundedness and compactness of the weighted differentiation superposition operator Dum SΦ from H∞ to the nth weighted-type space. [ABSTRACT FROM AUTHOR]