10 citations · 14 across the 7 of their papers we have counts for
10 papers
When are the Hardy-Littlewood inequalities contractive?
W. V. Cavalcante, T. Nogueira, D. M. Pellegrino +2
The optimal constants of the -linear Bohnenblust-Hille and Hardy-Littlewood inequalities are still not known despite its importance in several fields of Mathematics. For the Boh…
Bohnenblust--Hille inequality for polynomials whose monomials have uniformly bounded number of variables
Mariana Maia, Tony Nogueira, Daniel Pellegrino
In 2015, using an innovative technique, Carando, Defant and Sevilla-Peris succeeded in proving a Bohnenblust--Hille type inequality with constants of polynomial growth in for a…
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
N. Albuquerque, G. Araújo, M. Maia +3
The Hardy--Littlewood inequality for -linear forms on spaces and asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\le…
Summability of multilinear forms on classical sequence spaces
Tony Nogueira, Pilar Rueda
We present an extension of the Hardy--Littlewood inequality for multilinear forms. More precisely, let be the real or complex scalar field and be positive intege…
Optimal constants for a mixed Littlewood type inequality
Tony Nogueira, Daniel Núñez-Alarcón, Daniel Pellegrino
For a mixed Littlewood-type inequality asserts that there is a constant such that \[ \left( \sum_{i_{1}=1}^{\infty}\left( \sum_{i_{2},...,i_…
Some applications of the Hölder inequality for mixed sums
Nacib Albuquerque, Tony Nogueira, Daniel Nunez-Alarcon +2
We use the Hölder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for -linear forms on spaces with mixe…
A note on summability of multilinear forms on classical sequence spaces
Tony Nogueira, Daniel Pellegrino
We obtain some optimal estimates for multilinear forms on spaces.
The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on
Daniel Nunez-Alarcon, Daniel Pellegrino
For , the Hardy and Littlewood inequalities for real bilinear forms, in its unified formulation, assert that there is a constant such that \begin{equation}…
On the size of certain subsets of invariant Banach sequence spaces
Tony K. Nogueira, Daniel Pellegrino
The essence of the notion of lineability and spaceability is to find linear structures in somewhat chaotic environments. The existing methods, in general, use \textit{ad hoc} argum…
On summability of multilinear operators and applications
N. Albuquerque, G. Araujo, W. V. Cavalcante +4
This paper has two clear motivations: a technical and a practical. The technical motivation unifies in a single and crystal clear formulation a huge family of inequalities that hav…