ESTIMATES FOR SINGULAR INTEGRALS ALONG SURFACES OF REVOLUTION
ESTIMATES FOR SINGULAR INTEGRALS ALONG SURFACES OF REVOLUTION
复制标题
DOI：
10.1017/s1446788708000773
复制
发表时间：
2008-09
影响因子：
0.7
通讯作者：
Shuichi Sato
中科院分区：
文献类型：
--
作者：
Shuichi Sato
本文证明了沿沿着旋转曲面的各向异性奇异积分的Lp估计（1<p<∞）.奇异积分由粗糙核定义。作为应用，我们得到了奇异积分在核的一个尖锐尺寸条件下的Lp有界性。我们还证明了一个三角积分的估计，这对研究各向异性奇异积分是有用的。
Abstract We prove certain Lp estimates (1<p<∞) for nonisotropic singular integrals along surfaces of revolution. The singular integrals are defined by rough kernels. As an application we obtain Lp boundedness of the singular integrals under a sharp size condition on their kernels. We also prove a certain estimate for a trigonometric integral, which is useful in studying nonisotropic singular integrals.