Oscillatory hyper Hilbert transforms along curves

被引：0
|
作者：
CHEN Jie-cheng1 FAN Da-shan2 WANG Meng1 1 Dept.of Math.
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 2009年 / 03期
基金：
中国国家自然科学基金;
关键词：
hyper Hilbert transform; curve;
D O I：
暂无
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
The hyper Hilbert transform Tnf(x) = 1 -1 f(x - Γ(t))e-i|t|-β|t|-1-αdt along an appropriate curve Γ(t) on Rn is investigated,where β > α > 0.An Lp boundedness theorem of T4 is obtained,which is an extension of some earlier results of n = 2 and n = 3.
引用
收藏
页码：336 / 342
页数：7
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