A multilinear reverse H\"older inequality with applications to multilinear weighted norm inequalities
Classical Analysis and ODEs
2017-10-19 v2
Abstract
In this note we prove a multilinear version of the reverse H\"older inequality in the theory of Muckenhoupt weights. We give two applications of this inequality to the study of multilinear weighted norm inequalities. First, we prove a structure theorem for multilinear weights; second, we give a new sufficient condition for multilinear, two-weight norm inequalities for the maximal operator.
Keywords
Cite
@article{arxiv.1701.07800,
title = {A multilinear reverse H\"older inequality with applications to multilinear weighted norm inequalities},
author = {David Cruz-Uribe and Kabe Moen},
journal= {arXiv preprint arXiv:1701.07800},
year = {2017}
}
Comments
Revised version, includes new characterization of multi-linear A_p weights. To appear in the Georgian Math Journal