Maximal multilinear operators
Classical Analysis and ODEs
2024-07-02 v2 Dynamical Systems
Abstract
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.
Cite
@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}
}
Comments
54 pages, no figures. Some incorrect arguments, particularly in Section 7, have been fixed