D. Núñez-Alarcón

activity

20122026

most citedOptimal exponents for Hardy--Littlewood inequalities for

m

-linear operators

19 citations · 46 across the 23 of their papers we have counts for

collaborators

30 papers

quant-ph2026

Criticality Concentrates Extensive Sensing Information into a Local Readout

Peng Wang, Yu-Xuan Zhang, Hai-Tao Ding +1

We show that criticality concentrates extensive sensing information into a local trajectory. In the rapid-readout limit of an all-to-all dissipative feedback network, a single bina…

math.FA2026

Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint

Anderson Barbosa, Daniel Núñez-Alarcón, Anselmo Raposo +1

We study sparse Kahane--Salem--Zygmund constructions and weighted Hardy--Littlewood inequalities for homogeneous polynomials. For supports of cardinality $n^{d + o (1)}$ , we determine…

math.FA2026

Binary dimension-free discretization and polynomial complexification on real cubes

Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón, Joedson Santos

Let $C (d, 2)$ be the optimal dimension-free ratio between the polytorus and Boolean-cube norms of complex multiaffine polynomials of degree at most $d$ . For every $d$ , $C (d, 2)$ equa…

math.FA2026

Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality

Daniel Núñez-Alarcón, Daniel M. Pellegrino, Eduardo V. Teixeira

The completely bounded Bohnenblust--Hille inequality of Arunachalam, Dutt, Escudero Gutiérrez and Palazuelos controls coefficient summability with optimal constant one, independent…

math.FA2026

The phase diagram of injective-to-projective tensor distortion

Daniel Nunez-Alarcon, Daniel Pellegrino, Joedson Santos

For finite-dimensional Banach spaces $E$ and $F$ , set \[ ρ(E,F):=\sup_{0\neq z\in E\otimes F}\frac{π(z)}{\varepsilon(z)}. \] The square growth of $ρ (ℓ_{p}^{d}, ℓ_{q}^{d})$ was determi…

math.FA2026

Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials

Daniel Nunez-Alarcon, Daniel M. Pellegrino, Anselmo Raposo +1

We determine the dimension-free threshold for the comparison between the Bombieri--Weyl norm and the supremum norm of complex homogeneous polynomials on $ℓ_{p}^{n}$ . For $m$ -homogen…

math.FA2026

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 $q^{(m)}$ , write $C_{\mathbf q^{(m)}}^{…

math.FA2026

Optimality in a Multilinear Extension of Kwapień's Theorem

Luis Miguel Castaño Marín, Luis Miguel Castaño-Marín, Daniel Núñez-Alarcón +2

Bayart, Pellegrino, and Rueda obtained diagonal absolute summability exponents for continuous $m$-linear operators from $(\ell_1)^m$ into $\ell_p$. Their optimality was known…

math.FA2026

Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support

Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez

We study the optimal Bohnenblust-Hille constants $K_{m, M}$ for complex $m$ -homogeneous polynomials in any number of variables whose monomials with nonzero coefficient invol…

math.FA2024

The sharp constants in the real anisotropic Littlewood's $4/3$ inequality and applications

Nicolás Caro-Montoya, Daniel Núñez-Alarcón, Diana Serrano-Rodríguez

The real anisotropic Littlewood's $4/3$ inequality is an extension of a famous result obtained in 1930 by J. E. Littlewood. It asserts that, for $a, b \in (0, \infty)$ , the f…

math.FA2022

Unified Grothendieck's and Kwapień's theorems for multilinear operators

Daniel Núñez-Alarcón, Joedson Santos, Diana Serrano-Rodríguez

Kwapień's theorem asserts that every continuous linear operator from $ℓ_{1}$ to $ℓ_{p}$ is absolutely $(r, 1)$ -summing for $1/ r = 1 - ∣ 1/ p - 1/2 ∣ .$ …

math.FA2020

Super-critical Hardy--Littlewood inequalities for multilinear forms

D. Nunez-Alarcon, D. Paulino, D. Pellegrino

The multilinear Hardy--Littlewood inequalities provide estimates for the sum of the coefficients of multilinear forms $T:\ell_{p_{1}}^{n}\times\cdots \times\ell_{p_{m}}^{n}\rightar…

math.FA2019

Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

Daniel Núñez Alarcón, Daniel Marinho Pellegrino, Diana Marcela Serrano Rodríguez

Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in…

math.FA2017★ 1 cited

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…

math.FA2016

Optimal constants for a mixed Littlewood type inequality

Tony Nogueira, Daniel Núñez-Alarcón, Daniel Pellegrino

For $p \in [2, \infty]$ a mixed Littlewood-type inequality asserts that there is a constant $C_{(m), p} \geq 1$ such that \[ \left( \sum_{i_{1}=1}^{\infty}\left( \sum_{i_{2},...,i_…

math.FA2016★ 19 cited

Optimal exponents for Hardy--Littlewood inequalities for $m$ -linear operators

R. M. Aron, D. Núñez-Alarcón, D. Pellegrino +1

The Hardy--Littlewood inequalities on $ℓ_{p}$ spaces provide optimal exponents for some classes of inequalities for bilinear forms on $ℓ_{p}$ spaces. In this paper we inves…

math.FA2015

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 $m$ -linear forms on $ℓ_{p}$ spaces with mixe…

math.FA2015★ 3 cited

Remarks on the Hardy--Littlewood inequality for $m$ -homogeneous polynomials and $m$ -linear forms

W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino

The Hardy--Littlewood inequality for $m$ -homogeneous polynomials on $ℓ_{p}$ spaces is valid for $p > m .$ In this note, among other results, we present an optimal version of this i…

math.NT2015

The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on $c_{0} \times ℓ_{p}$

Daniel Nunez-Alarcon, Daniel Pellegrino

For $p, q \geq 2$ , the Hardy and Littlewood inequalities for real bilinear forms, in its unified formulation, assert that there is a constant $C_{p, q} \geq 1$ such that \begin{equation}…

math.FA2015★ 1 cited

The optimal Hardy--Littlewood constants for $2$ -homogeneous polynomials on $ℓ_{p} (R^{2})$ for $2 < p \leq 4$ are $2^{2/ p}$

W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino

We show that the optimal constants for the Hardy--Littlewood inequalities for $2$ -homogeneous polynomials on $ℓ_{p} (R^{2})$ are precisely $2^{2/ p}$ for all $2 < p < 4.$

math.FA2015★ 3 cited

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 $m$ -linear forms on $ℓ_{p}^{2}$ spaces when $p = 2 m$ and for certain v…

math.FA2015★ 5 cited

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…

math.FA2014

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.

math.FA2014

A subexponential vector-valued Bohnenblust-Hille type inequality

N. Albuquerque, D. Núñez-Alarcón, D. M. Serrano-Rodríguez

Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohne…

Criticality Concentrates Extensive Sensing Information into a Local Readout

Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint

Binary dimension-free discretization and polynomial complexification on real cubes

Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality

The phase diagram of injective-to-projective tensor distortion

Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials

The Geometry of Real Anisotropic Bohnenblust--Hille Constants

Optimality in a Multilinear Extension of Kwapień's Theorem

Asymptotic Contractivity of Bohnenblust-Hille Constants with Bounded Monomial Support

The sharp constants in the real anisotropic Littlewood's 4/3 inequality and applications

Unified Grothendieck's and Kwapień's theorems for multilinear operators

Super-critical Hardy--Littlewood inequalities for multilinear forms

Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms

The best constants in the Multiple Khintchine Inequality

Optimal constants for a mixed Littlewood type inequality

Optimal exponents for Hardy--Littlewood inequalities for m-linear operators

Some applications of the Hölder inequality for mixed sums

Remarks on the Hardy--Littlewood inequality for m-homogeneous polynomials and m-linear forms

The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on c0​×ℓp​

The optimal Hardy--Littlewood constants for 2-homogeneous polynomials on ℓp​(R2) for 2<p≤4 are 22/p

New lower bounds for the constants in the real polynomial Hardy--Littlewood inequality

Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches

On the polynomial Hardy--Littlewood inequality

A subexponential vector-valued Bohnenblust-Hille type inequality

The sharp constants in the real anisotropic Littlewood's $4/3$ inequality and applications

Optimal exponents for Hardy--Littlewood inequalities for $m$ -linear operators

Remarks on the Hardy--Littlewood inequality for $m$ -homogeneous polynomials and $m$ -linear forms

The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on $c_{0} \times ℓ_{p}$

The optimal Hardy--Littlewood constants for $2$ -homogeneous polynomials on $ℓ_{p} (R^{2})$ for $2 < p \leq 4$ are $2^{2/ p}$