31 citations · 48 across the 8 of their papers we have counts for
10 papers
On the Maurey--Pisier and Dvoretzky--Rogers theorems
Gustavo Araújo, Joedson Santos
A famous theorem due to Maurey and Pisier asserts that for an infinite dimensional Banach space , the infumum of the such that the identity map is absolutely $\left…
Universal bounds for the Hardy--Littlewood inequalities on multilinear forms
Gustavo Araújo, Kleber Câmara
The Hardy--Littlewood inequalities for multilinear forms on sequence spaces state that for all positive integers and all -linear forms $T:\ell_{p_{1}}^{n}\times\cdots…
A Gale-Berlekamp permutation-switching problem in higher dimensions
Gustavo Araujo, Daniel Marinho Pellegrino
Let an array of lights be given, each either on (when ) or off (when ). For each row and each column there is a switch so t…
Optimal Hardy-Littlewood type inequalities for -linear forms on spaces with
Gustavo Araujo, Daniel Pellegrino
The Hardy-Littlewood inequalities for -linear forms on spaces are stated for . In this paper, among other results, we investigate similar results for $1\leq p\le…
Lower bounds for the complex polynomial Hardy--Littlewood inequality
Gustavo Araujo, Daniel Pellegrino
The Hardy--Littlewood inequality for complex homogeneous polynomials asserts that given positive integers and , if is a complex homogeneous polynomial of degre…
On the constants of the Bohnenblust-Hille inequality and Hardy--Littlewood inequalities
Gustavo Araujo, Daniel Pellegrino
In this paper, among other results, we improve the best known estimates for the constants of the generalized Bohnenblust-Hille inequality. These enhancements are then used to impro…
On the polynomial Hardy--Littlewood inequality
G. Araujo, P. Jimenez-Rodriguez, G. Munoz-Fernandez +4
We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.
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 -linear forms on spaces are of the form We pr…
Lower bounds for the constants of the Hardy-Littlewood inequalities
Gustavo Araujo, Daniel Pellegrino
Given an integer , the Hardy--Littlewood inequality (for real scalars) says that for all , there exists a constant such th…
Optimal estimates for summing multilinear operators
Gustavo Araujo, Daniel Pellegrino
We show that given a positive integer , a real number and the set of non--multiple --summing --linear forms…