ON A PRODUCT-TYPE OPERATOR FROM WEIGHTED BERGMAN-NEVANLINNA SPACES TO WEIGHTED ZYGMUND SPACES ON THE UNIT DISK.

Let D = {z ∊ C : /z/ < 1} be the open unit disk, φ an analytic self-mapping of D and ψ an analytic function in D. Let D be the differentiation operator and Wφψ the weighted composition operator. The boundedness and compactness of the product-type operator Wφψ D from weighted Bergman- Nevanlinna spaces to weighted Zygmund spaces on D are characterized. [ABSTRACT FROM AUTHOR]