A. Raposo

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20202026

most citedConstants of the Kahane--Salem--Zygmund inequality asymptotically bounded by

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6 citations · 7 across the 14 of their papers we have counts for

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16 papers · 1 filter

math.FA2026

$(α, c)$ -spaceability of continuous functions with prescribed Hausdorff graph dimension

Anselmo Raposo Junior, Daniel Pellegrino

Let $1 < s \leq 2$ and let $H_{s} [0, 1]$ consist of the real-valued continuous functions on $[0, 1]$ whose graphs have Hausdorff dimension $s$ . We prove that every finite-dimensional subs…

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

Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm

Daniel M. Pellegrino, Anselmo B. Raposo, Eduardo V. Teixeira

The Kahane--Salem--Zygmund inequality provides unimodular $m$ -linear forms with small supremum norm. We consider its dimension-free symmetric constant $C_{m}^{sym}$ over the…

math.FA2026

Sharp Summability on Supports of Prescribed Combinatorial Dimension

Anderson Barbosa, Daniel Pellegrino, Anselmo Raposo +1

We solve four questions raised by Bayart concerning coefficient summability for multilinear forms with prescribed supports. For every $m \geq 2$ and $d \in [1, m]$ , we determine the pro…

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

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.FA2026

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

Anselmo Raposo, Geivison Ribeiro

For an operator $T : X \to Y$ , denote $m (T) = in f {∥ T x ∥ : x \in S_{X}}$ . A sequence $(x_{n})$ in $S_{X}$ is said to be minimizing for $T$ if $∥ T x_{n} ∥ \to m (T)$ . The weak minimizing property…

math.FA2024

On a theorem due to Murray

A. Barbosa, A. Raposo, G. Ribeiro

In this paper, we introduce the notions of $α$ -quasicomplemented and totally $α$ -quasicomplemented subspaces and we established some results under these contexts. We show, for exam…

math.FA2023

Pointwise linear separation property and infinite pointwise dense lineability

Anselmo Raposo, Geivison Ribeiro

In this note we generalize a criterion within the concept of infinite dense lineability due to Calderón-Moreno, Gerlach-Mena and Prado-Bassas. We also introduce and explore some lo…

math.FA2023

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$

Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1

In this note we prove that, for $p > 0$ , $L_{p} [0, 1] ∖ ⋃_{q \in (p, \infty)} L_{q} [0, 1]$ is $(α, c)$ -spaceable if, and only if, $α < ℵ_{0}$ . Such a problem…

math.FA2021★ 1 cited

Regularity of the coefficients of multilinear forms on sequence spaces

Daniel Pellegrino, Anselmo Raposo, Diana Serrano-Rodríguez

The investigation of regularity/summability properties of the coefficients of bilinear forms in sequence spaces was initiated by Littlewood in $1930$ . Nowadays, this topic has impo…

math.FA2021

Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by $1$ II

Daniel Pellegrino, Anselmo Raposo

In [18] we have shown that, for $p_{1}, p_{2} \in (2, \infty]$ , the constants of Bennett's inequality on unimodular bilinear forms on $ℓ_{p_{1}}^{n_{1}} \times ℓ_{p_{2}}^{n_{2}}$ …

math.FA2020

Pointwise Lineability in Sequence Spaces

Daniel Pellegrino, Anselmo Raposo

We prove that several results of lineability/spaceability in the framework of sequence spaces are valid in a stricter sense.

math.FA2020

A note on the geometry of certain classes of linear operators

Diogo Diniz, Anselmo Raposo

In this note we introduce a new technique to answer an issue posed in [7] concerning geometric properties of the set of non-surjective linear operators. We also extend and improve…

math.FA2020

Spaceability of the sets of surjective and injective operators between sequence spaces

Diogo Diniz, Vinícius Fávaro, Daniel Pellegrino +1

We investigate algebraic structures within sets of surjective and injective linear operators between sequence spaces, completing results of Aron et al.

(α,c)-spaceability of continuous functions with prescribed Hausdorff graph dimension

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

Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm

Sharp Summability on Supports of Prescribed Combinatorial Dimension

Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials

Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups

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

Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus

On a theorem due to Murray

Pointwise linear separation property and infinite pointwise dense lineability

On the spaceability of the set of functions in the Lebesgue space Lp​ which are in no other Lq​

Regularity of the coefficients of multilinear forms on sequence spaces

Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by 1 II

Pointwise Lineability in Sequence Spaces

A note on the geometry of certain classes of linear operators

Spaceability of the sets of surjective and injective operators between sequence spaces

$(α, c)$ -spaceability of continuous functions with prescribed Hausdorff graph dimension

On the spaceability of the set of functions in the Lebesgue space $L_{p}$ which are in no other $L_{q}$

Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by $1$ II