Rough singular integrals associated to surfaces of revolution

Let 1 < p < infinity and n greater than or equal to 2. The authors establish the L-p (Rn+1)-boundedness for a class of singular integral operators associated to surfaces of revolution, {(t, phi(\t\)) : t is an element of R-n}, with rough kernels, provided that the corresponding maximal function along the plane curve {(t, phi(\t\)) : t is an element of R} is bounded on L-p (R-2).