ON THE TWO-DIMENSIONAL BILINEAR HILBERT TRANSFORM

被引：1

作者：

Demeter, Ciprian ^{[1
]}

Thiele, Christoph ^{[2
]}

机构：

[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[2] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2010年 / 132卷 / 01期

基金：

美国国家科学基金会;

关键词：

MULTILINEAR OPERATORS; CONVERGENCE; THEOREM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from Z(2) actions. Our techniques combine novel one and a half-dimensional phase-space analysis with more standard one-dimensional theory.

引用

页码：201 / 256

页数：56

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