5 citations · 6 across the 5 of their papers we have counts for
7 papers
The Geometry of Real Anisotropic Bohnenblust--Hille Constants
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Joedson Silva dos Santos +2
We determine the growth scale of the optimal constants in the real anisotropic Bohnenblust--Hille inequality. For an exponent vector , write $C_{\mathbf q^{(m)}}^{…
The Orlicz inequality for multilinear forms
D. Núñez-Alarcón, D. Pellegrino, D. Serrano-Rodríguez
The Orlicz -mixed inequality states that $$ \left( \sum_{j_{1}=1}^{n}\left( \sum_{j_{2}=1}^{n}\left\vert A(e_{j_{1} },e_{j_{2}})\right\vert \right…
On unimodular multilinear forms with small norms on sequence spaces
Daniel Pellegrino, Diana Serrano-Rodríguez, Janiely Silva
The Kahane--Salem--Zygmund inequality is a probabilistic result that guarantees the existence of special matrices with entries and generating unimodular -linear forms $…
The best constants in the Multiple Khintchine Inequality
Daniel Núñez-Alarcón, Diana M. Serrano-Rodríguez
In this work we provide the best constants of the multiple Khintchine inequality. This allows us, among other results, to obtain the best constants of the mixed $\left( \ell_{\frac…
Regularity principle in sequence spaces and applications
Daniel Pellegrino, Joedson Santos, Diana Serrano-Rodríguez +1
We prove a nonlinear regularity principle in sequence spaces which produces universal estimates for special series defined therein. Some consequences are obtained and, in particula…
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…
Absolutely γ-Summing Multilinear Operators
Diana Marcela Serrano-Rodríguez
In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely s…