PRODUCT OF MULTIPLICATION, AND DIFFERENTIATION OPERATORS BETWEEN WEIGHTED BERGMAN-NEVANLINNA AND ZYGMUND TYPE SPACES

Abstract

Let be a holomorphic self- map of D in the complex plane C. Let M ;D be the multiplication, and dierentiation operators respectively. In this paper, we taken linear operators induce by product of these operators from weighted Bergman- Nevanlinna spaces to Zygmund spaces. The boundedness and compactness
of these operators from weighted Bergman- Nevanlinna spaces to Zygmund spaces are studied in this paper.