加权Bergman空间到加权Bloch空间的加权复合算子

Weighted Composition Operators from Weighted Bergman Space into Weighted Bloch Space

定义了加权复合算子(uC?)(f)(z)=u(z)f(?(z)),z∈D,f∈H(D);研究了由一个单位圆盘上的解析自映射诱导的、从加权Bergman空间到加权Bloch空间的加权复合算子的有界性和紧性.

The weighted composition operator is defined by（uCφ）（f）（z） = u（z） f（φ（z））,z∈D,f∈H（D）.This paper studies the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the weighted Bloch space.