D. Pellegrino

activity

20032026

most citedOn the upper bounds for the constants of the Hardy-Littlewood inequality

31 citations · 155 across the 89 of their papers we have counts for

collaborators

107 papers

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

Polynomial growth of complex polynomial Bohnenblust--Hille constants

Daniel M. Pellegrino, Eduardo V. Teixeira

For complex $m$-homogeneous polynomials, let $D_m$ denote the optimal dimension-free constant in the polynomial Bohnenblust--Hille inequality. We prove that, for every \(B>1/2\…

math.FA2026

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

Daniel M. Pellegrino, Anselmo Raposo

Let $C_{q}$ denote the group of the $q$ th roots of unity. A question arising from the work of Becker, Klein, Slote, Volberg and Zhang is whether the dimension-free Bohnenblust--Hille…

math.FA2026

Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps

Daniel M. Pellegrino, Anselmo Raposo

We study real multilinear forms with coefficients in ${- 1, 1}$ on finite-dimensional Hilbert spaces. Every trilinear sign form on $ℓ_{2}^{r} \times ℓ_{2}^{n} \times ℓ_{2}^{n}$ has norm a…

math.FA2023★ 1 cited

General criteria for a strong notion of lineability

Vinícius Vieira Fávaro, Daniel Marinho Pellegrino, Anselmo Baganha Raposo Júnior +1

A subset $A$ of a vector space $X$ is called $α$ -lineable whenever $A$ contains, except for the null vector, a subspace of dimension $α$ . If $X$ has a topology, then $A$ is $α$ -spa…

math.AP2022

$C^{1}$ -regularity for degenerate diffusion equations

Pêdra Andrade, Daniel Pellegrino, Edgard A. Pimentel +1

We prove that any solution of a degenerate elliptic PDE is of class $C^{1}$ , provided the inverse of the equation's degeneracy law satisfies an integrability criterium, viz. $σ^{-1}…

Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials

Polynomial growth of complex polynomial Bohnenblust--Hille constants

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps

General criteria for a strong notion of lineability

C1-regularity for degenerate diffusion equations

$C^{1}$ -regularity for degenerate diffusion equations