在这份报纸,作者建立在形式的 n 沿着表面为单个积分的一个班印射性质的 L p {(|u|) u: u n }如果函数满足,象相关最大的操作符一样,某些摆动的积分凡 der Corput 类型,和积分估计内核被光线的函数给{ ie86-1 }为> 1 并且范围函数{ ie86-2 }为一些> 0 ,它从 H 1 ( S n1 )是不同的。
In this paper, the authors establish the LV-mapping properties for a class of singular integrals along surfaces in Rn of the form {Ф(lul)u' : u ε ]t~n} as well as the related maimal operators provided that the function Ф satisfies certain oscillatory integral estimates of Van der Corput type, and the integral kernels are given by the radial function h E ε△γ(R+) for γ 〉 1 and the sphere function ΩεFβ(S^n-1) for someβ 〉 0 which is distinct from HI(Sn-1).