We revisit the Bohnenblust--Hille multilinear and polynomial inequalities and prove some new properties. Our main result is a multilinear version of a recent result on polynomials whose monomials have a uniformly bounded number of variables.
@article{arxiv.1811.09172,
title = {Remarks on the Bohnenblust--Hille inequalities},
author = {Djair Paulino and Daniel Pellegrino and Joedson Santos},
journal= {arXiv preprint arXiv:1811.09172},
year = {2020}
}