Maximal multilinear operators

Abstract

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.

Locations

• Transactions of the American Mathematical Society - View - PDF
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF
• Transactions of the American Mathematical Society - View - PDF
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - View - PDF
• arXiv (Cornell University) - PDF