Rough Singular Integral Operators Along Polynomial Curves

This desertation is devoted to studying rough singular integral operators associated to polynomial curves. It consists of two chapters. The firt chapter is concerning with the one-parameter singular integrals and the second one deals with the multiple-parameter singular integrals. Some rather weak size conditions both along the radial direction and on sperical surface, which imply the L~p boundedness of these singular integral operators for some fixed p(l < p <∞), are obtained.