Weighted Differentiation Composition Operators from Weighted Bergman Spaces with Admissible Weights to Bloch-type Spaces.

For an analytic self-map φ of the unit disk D in the complex plane C, a nonnegative integer n, and u analytic function on D, weighted differentiation composition operator is defined by (Dφ,unƒ)(z) = u(z)ƒ(n)(φ(z)), where f is an analytic function on D and z ∊ D. In this paper, we study the boundedness and compactness of Dφ,un, from weighted Bergman spaces with admissible weights to Bloch-type spaces. [ABSTRACT FROM AUTHOR]