1. Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China 2. Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou 310023, P. Ft. China
Abstract:
The Fourier transform and the Littlewood-Paley theory are used to give the weighted boundedness of a strongly singular integral operator defined in this paper. The paper shows that the strongly singular integral operator is bounded from the Sobolev space to the Lebesgue space.