中文摘要：

研究振荡奇异积分算子与Lipschitz函数生成交换子的加权有界性。给出光滑C-Z核的振荡奇异积分算子交换子的一个Lipschitz刻画,并得到标准C-Z核的振荡奇异积分算子与Lipschitz函数生成交换子的加权有界性。

英文摘要：

The boundedness of commutators formed by oscillatory integral operators and Lipschitz functions is established.A Lipschitz characterization of commutators of oscillatory integral operators with smooth C-Z Kernel is given.Also,the boundedness of commutators formed by oscillatory integral operators with standard C-Z Kernel and Lipschitz functions is obtained.