Composition Operator Preceeding By Differentiation From Weighted Bergman Nevanlinna Spaces To Zygmund Spaces

Abstract

Let ɸ be an analytic map on the open unit disk D in the complex plane such that ɸ (D)⊂ D. The composition operator DCɸ : is defined by DC ɸ ( f ) =( fo ɸ ) ′ In this paper, the boundedness and compactness of the composition op­erator DC ɸ from the weighted Bergman Nevanlinna spaces to Zygmund spaces are  investigated. Subject Classification: Primary 47B33,46E10; secondary 30D55