Maximal multilinear operators

Details Maximal multilinear operators Maximal multilinear operators

2005-10-26

arxiv.org/abs/math/0510581v1

Mathematics

Classical Analysis and ODEs

55 pages, no figures, submitted, Geom. Func. Anal

Scientific paper

We establish multilinear $L^p$ 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.

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