Optimal Hardy-Littlewood type inequalities for $m$-linear forms on ${\ell }_p$ spaces with $1\le p\le m$

Gustavo Araujo, Daniel Pellegrino

The Hardy-Littlewood inequalities for $m$-linear forms on ${\ell }_p$ spaces are stated for $p>m$. In this paper, among other results, we investigate similar results for $1\leq p\le…