ON THE BOUNDEDNESS OF THE BILINEAR HILBERT TRANSFORM ALONG "NON-FLAT" SMOOTH CURVES

被引：22

作者：

Lie, Victor ^{[1
,2
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2015年 / 137卷 / 02期

关键词：

OSCILLATORY INTEGRALS; SINGULAR-INTEGRALS;

D O I：

10.1353/ajm.2015.0013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are proving L-2(R) x L-2(R) -> L-1(R) bounds for the bilinear Hilbert transform H-Gamma along curves Gamma = (t,-gamma(t)) with gamma being a smooth "non-flat" curve near zero and infinity.

引用

页码：313 / 363

页数：51

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