中文摘要：

本文研究了广义Bergman空间上的复合算子，利用单位球上的回拉测度，给出了这类算子有界及紧的充要条件．

英文摘要：

We study the composition operators on generalized Bergman spaces. By pull- back measure on the unit ball, we give some sufficient and necessary conditions for such operators to be bounded or compact.