On the upper bounds for the constants of the Hardy-Littlewood inequality

Gustavo Araujo, Daniel Pellegrino, Diogo D. P. Silva e Silva

The best known upper estimates for the constants of the Hardy--Littlewood inequality for $m$-linear forms on ${\ell }_p$ spaces are of the form ${\left(\sqrt{2}\right)}^{m-1}.$ We pr…