摘要

In this paper we present the L-p mapping properties for a class of multiple singular integral operators along polynomial compound surfaces provided that the integral kernels are given by the radial function h is an element of Delta(gamma) (or h is an element of U-gamma) for some gamma > 1 and the sphere function Omega is an element of(f) over tilde (beta) (Sm-1 x Sn-1) for some beta > 0, which is distinct from L(log(+) L)(2)(Sm-1 x Sn-1). In addition, the L-p bounds for the related maximal operators are also established. Some previous results are greatly extended and improved.