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

Showing 2015Show all

6 papers · 1 filter

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…

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

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 $2^{2/ p}$