BILINEAR HILBERT TRANSFORMS ALONG CURVES I: THE MONOMIAL CASE

被引：32
|
作者：
Li, Xiaochun [1 ]
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
来源：
ANALYSIS & PDE | 2013年 / 6卷 / 01期
关键词：
bilinear Hilbert transform along curves; OSCILLATORY INTEGRALS;
D O I：
10.2140/apde.2013.6.197
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish an L-2 x L-2 to L-1 estimate for the bilinear Hilbert transform along a curve defined by a monomial. Our proof is closely related to multilinear oscillatory integrals.
引用
收藏
页码：197 / 220
页数：24
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