Maximal multilinear operators

被引：25

作者：

Demeter, Ciprian ^{[1
]}

Tao, Terence ^{[1
]}

Thiele, Christoph ^{[1
]}

机构：

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 09期

关键词：

D O I：

10.1090/S0002-9947-08-04474-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish multilinear L-p bounds for a class of maximal multilinear averages of functions of one variable, reproving and generalizing the bilinear maximal function bounds of Lacey (2000). As an application we obtain almost everywhere convergence results for these averages, and in some cases we also obtain almost everywhere convergence for their ergodic counterparts on a dynamical system.

引用

页码：4989 / 5042

页数：54

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