4 citations · 5 across the 5 of their papers we have counts for
6 papers
A unified factorization theorem for Lipschitz summing operators
Geraldo Botelho, Mariana Maia, Daniel Pellegrino +1
We prove a general factorization theorem for Lipschitz summing operators in the context of metric spaces which recovers several linear and nonlinear factorization theorems that hav…
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…
Estimating the index of summability of pairs of Banach spaces
M. Maia, J. Santos
Let be Banach spaces. The index of summability of is a kind of measure of how far the -linear operators $T:E_…
On the mixed -Littlewood inequalities and interpolation
Mariana Maia, Joedson Santos
It is well-known that the optimal constant of the bilinear Bohnenblust--Hille inequality (i.e., Littlewood's inequality) is obtained by interpolating the bilinear mixed $\lef…
An index of summability for pairs of Banach spaces
M. Maia, D. Pellegrino, J. Santos
We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E; F, this index plays the role of a kind of measure of how the m-homogeneous polynomi…