有界解析函数空间上一个算子的有界性与紧性

Boundedness and Compactness of the Operator on the Space of Bounded Analytic Functions

主要讨论了单位圆盘上有界解析函数空间上算子μD^2C_φ的有界性和紧性,算子μD^2C_φ定义为(uD^2C_φf)(z)=μ(z)(f(φ(z)))″,u∈H(D),得到了有界解析函数空间μD^2C_φ算子的有界性和紧性的充要条件.

This paper discusses the boundedness and compactness of the operator on the space Bounded analytic functions on the unit disk. The operator ,μD^2Cφ is defined as （uD2Cφf） （z） μ（z） （f（φ（z）））＂, u∈ H（D）. Some necessary and sufficient conditions are given for which ,uDz is a bounded or a compact operator on the space of bounded analytic functions.