Boundedness of singular integrals along surfaces on Lebesgue spaces

被引：0
作者：
ZHANG Yan-dan1 CHEN Jie-cheng2 ZHANG Chun-jie31 Department of Mathematics
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2010年 / 02期
基金：
中国国家自然科学基金;
关键词：
Singular integrals; surfaces; rough kernels; Plancherel’s theorem; oscillatory singular integrals;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In the paper, we establish the Lp(Rn+1)-boundedness for a class of singular integral operators associated to surfaces of revolution {(y,γ(|y|),y ∈ Rn} with rough kernels. We also give several applications of this inequality.
引用
收藏
页码：192 / 198
页数：7
相关论文
共 4 条
[1]   沿旋转曲面奇异积分的有界性(英文) [J].
潘翼彪 ;
唐林 ;
杨大春 .
数学进展, 2003, (06) :677-682
[2]   Singular integral operators with rough kernels supported by subvarieties [J].
Fan, DS ;
Pan, YB .
AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (04) :799-839
[3]  
Operators associated to flat plane curves: $L^p$ estimates via dilation methods[J] . Anthony Carbery,Michael Christ,James Vance,Stephen Wainger,David K. Watson.Duke Mathematical Journal . 1989 (3)
[4]   MAXIMAL AND SINGULAR INTEGRAL-OPERATORS VIA FOURIER-TRANSFORM ESTIMATES [J].
DUOANDIKOETXEA, J ;
DEFRANCIA, JLR .
INVENTIONES MATHEMATICAE, 1986, 84 (03) :541-561
1