Breaking the duality in the return times theorem

被引：27

作者：

Demeter, Ciprian ^{[1
]}

Lacey, Michael T. ^{[2
]}

Tao, Terence ^{[1
]}

Thiele, Christoph ^{[1
]}

机构：

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

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

DUKE MATHEMATICAL JOURNAL | 2008年 / 143卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1215/00127094-2008-020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove Bourgain's return times theorem for a range of exponents p and q that are outside the duality range. An oscillation result is used to prove hitherto unknown almost-everywhere convergence for the signed average analogue of Bourgain's averages.

引用

页码：281 / 355

页数：75

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