设Ф∈S(D),n阶微分复合算子的定义为:(DФ^nf)(z)=f^(n)(Ф(z)),z∈D。本文主要研究该算子作用在加权型空间上的有界性和紧性问题。
Let Ф∈S(D), n-differentiation composition operator is defined as: (DФ^nf)(z)=f^(n)(Ф(z)),z∈D. The boundedness and compactness of this operator between wighted Banach spaces of holomorphic functions is discussed.