$L^p$ improving properties and maximal estimates for certain multilinear averaging operators
Classical Analysis and ODEs
2024-01-24 v2
Abstract
In this article we focus on estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different proof for the bilinear lacunary spherical maximal functions. To obtain our results, we make use of the -improving estimates of multilinear averaging operators. We also obtain -improving estimates for certain multilinear averages by means of the nonlinear Brascamp-Lieb inequality.
Cite
@article{arxiv.2306.04196,
title = {$L^p$ improving properties and maximal estimates for certain multilinear averaging operators},
author = {Chu-hee Cho and Jin Bong Lee and Kalachand Shuin},
journal= {arXiv preprint arXiv:2306.04196},
year = {2024}
}
Comments
32 pages. There was an error in proof of Theorem 1.5, so we added an assumption to fix it. Typos and symbolic errors were also fixed