31 citations · 48 across the 8 of their papers we have counts for
6 papers · 2 filters
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…