加权型空间上的n阶微分复合算子

n-differentiation composition operators between weighted Banach spaces of holomorphic functions

设φ∈S(D),n阶微分复合算子的定义为:(Dnφf)(z)=f(n)(φ(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.