Boundedness Of Rough Marcinkiewicz Integrals Operators Associated The Surface Of Revolution

This dissertation is devoted to studying of Marcinkiewicz integraloperators with rough kernels associated to surfaces of revolution. Itconsists of two chapters.The first chaper is concerned with the one-parametered Marcinkiewiczintegral operators. The L^p-boundedness of these operators are ob-tained if the kernel functions belong to H¹(S^n-1) or L(logL)^1/2(S^n-1),1pboundedness of these operators for some fixed p (1