10 citations · 26 across the 11 of their papers we have counts for
11 papers
Optimal constants of classical inequalities in complex sequence spaces
Wasthenny Cavalcante, Daniel Núñez-Alarcón, Daniel Pellegrino +1
In this paper we obtain the optimal constants of some classical inequalities, such as the multiple Khinchine inequality for Steinhaus variables and the mixed Littlewood inequality…
Extension of Lipschitz-type operators on Banach function spaces
W. V. Cavalcante, P. Rueda, E. A. Sánchez-Pérez
We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of…
Some applications of the Regularity Principle in sequence spaces
Wasthenny Vasconcelos Cavalcante
The Hardy--Littlewood inequalities for -linear forms have their origin with the seminal paper of Hardy and Littlewood (Q.J. Math, 1934). Nowadays it has been extensively investi…
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…
On the geometry of multilinear forms
W. V. Cavalcante, D. M. Pellegrino, E. V. Teixeira
We develop a constructive process which determines all extreme points of the unit ball of the space of --linear forms, Our method provides a full characterization of t…
Geometry of the closed unit ball of the space of bilinear forms on
Wasthenny Cavalcante, Daniel Pellegrino
We obtain all extreme and exposed points of the closed unit ball of the space of bilinear forms We also show tha…
Remarks on the Hardy--Littlewood inequality for -homogeneous polynomials and -linear forms
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
The Hardy--Littlewood inequality for -homogeneous polynomials on spaces is valid for In this note, among other results, we present an optimal version of this i…
The optimal Hardy--Littlewood constants for -homogeneous polynomials on for are
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
We show that the optimal constants for the Hardy--Littlewood inequalities for -homogeneous polynomials on are precisely for all
New lower bounds for the constants in the real polynomial Hardy--Littlewood inequality
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
In this short note we obtain new lower bounds for the constants of the real Hardy--Littlewood inequality for -linear forms on spaces when and for certain v…
Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches
J. Campos, W. Cavalcante, V. Fávaro +3
We investigate the growth of the polynomial and multilinear Hardy--Littlewood inequalities. Analytical and numerical approaches are performed and, in particular, among other result…
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…