Rough singular integrals associated with surfaces of Van der Corput type

被引：0
|
作者：
Liu Feng [1 ]
Wu Huo-xiong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2014年 / 29卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singular integrals; surfaces of Van der Corput type; maximal operators; Littlewood-Paley theory; Fourier transform estimates; L-P BOUNDS; MAXIMAL FUNCTIONS; OPERATORS; KERNELS;
D O I：
10.1007/s11766-014-3149-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish the L (p) -mapping properties for a class of singular integrals along surfaces in a"e (n) of the form {I center dot(|u|)u': u a a"e (n) } as well as the related maximal operators provided that the function I center dot satisfies certain oscillatory integral estimates of Van der Corput type, and the integral kernels are given by the radial function {ie86-1} for gamma > 1 and the sphere function {ie86-2} for some beta > 0, which is distinct from H (1)(S (n-1)).
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页码：86 / 100
页数：15
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