摘要
The oscillatory singular integrals we will consider are T（f）（x）=∫<sub>R</sub><sup>n</sup>e<sup>iπp（x,y）</sup>k（x-y）f（y）dy, （1） where k（x） is a Calderon-Zygmund standard kernel, i. e. k（x）=Ω（x）/|x|<sup>n</sup>, where Ω（x） is a homogeneous function and has enough smoothness on the unit sphere of R<sup>n</sup>, and p（x, y） is an arbitrary real-valued polynomial. The purpose of this note is to prove the following theorem.
基金
the National Natural Science Foundation of China and the Foundation of Zhongshan University Advanced Research Centre.
