Maximal multilinear operators
经典分析与常微分方程
2024-07-02 v2 动力系统
摘要
We establish multilinear bounds for a class of maximal multilinear averages of functions on one variable, reproving and generalizing the bilinear maximal function bounds of Lacey. 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
@article{arxiv.math/0510581,
title = {Maximal multilinear operators},
author = {Ciprian Demeter and Terence Tao and Christoph Thiele},
journal= {arXiv preprint arXiv:math/0510581},
year = {2024}
}
备注
54 pages, no figures. Some incorrect arguments, particularly in Section 7, have been fixed