We investigate the optimality problem associated with the best constants in a class of
Bohnenblust–Hille-type inequalities for m-linear forms. While germinal estimates indicated …

Abstract The Hardy–Littlewood inequalities for m-linear forms on ℓ _ p ℓ p spaces are stated
for p> mp> m. In this paper, among other results, we investigate similar results for 1 ≦ p ≦ …

Text In this note, among other results, we find the optimal constants of the generalized
Bohnenblust–Hille inequality for m-linear forms over R and with multiple exponents (1, 2 …

We refine a recent technique introduced by Pellegrino, Santos, Serrano and Teixeira and
prove a quite general anisotropic regularity principle in sequence spaces. As applications …

Given an integer m≥ 2, the Hardy–Littlewood inequality (for real scalars) says that for all 2
m≤ p≤∞, there exists a constant C m, p R≥ 1 such that, for all continuous m-linear forms …

Abstract For K= RK= R or CC, the Hardy–Littlewood inequality for m-linear forms asserts that
for 4 ≤ 2m ≤ p ≤ ∞ 4≤ 2 m≤ p≤∞ there exists a constant C_ m, p^ K ≥ 1 C m, p K≥ 1 …

Let an n× n array aij of lights be given, each either on (when aij= 1) or off (when aij=− 1). For
each row and each column there is a switch so that if the switch is pulled (xi=− 1 for row i …

This article has two clear motivations, one technical and one practical. The technical
motivation unifies in a single formulation a huge family of inequalities that have been …

In this paper, equivalence constants between various polynomial norms are calculated. As
an application, we also obtain sharp values of the Hardy–Littlewood constants for 2 …

Abstract The Bohnenblust–Hille inequality for m-linear forms was proven in 1931 as a
generalization of the famous 4/3-Littlewood inequality. The optimal constants (or at least …