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 stand...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.展开更多
基金国家自然科学基金项目(40730424)国家科技重大专项(2011ZX05023-005)+3 种基金WTOPI(Wavelet Transform On Propagation and Imaging for seismic exploration)Project at University of CaliforniaSanta CruzUnited States国家建设高水平大学公派研究生项目
基金the National Natural Science Foundation of China and the Foundation of Zhongshan University Advanced Research Centre.
文摘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.
