Mateus Sousa

activity

20152023

most citedExtremizers for Fourier restriction on hyperboloids

19 citations · 74 across the 9 of their papers we have counts for

collaborators

9 papers

math.CA2023

Sharp embeddings between weighted Paley-Wiener spaces

Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4

In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…

math.CA2020★ 6 cited

Perturbed interpolation formulae and applications

João P. G. Ramos, Mateus Sousa

We employ functional analysis techniques in order to deduce that some classical and recent interpolation results in Fourier analysis can be suitably perturbed. As an application of…

math.CA2019

Gaussians never extremize Strichartz inequalities for hyperbolic paraboloids

Emanuel Carneiro, Lucas Oliveira, Mateus Sousa

For $ξ = (ξ_{1}, ξ_{2}, \dots, ξ_{d}) \in R^{d}$ let $Q (ξ) := \sum_{j = 1}^{d} σ_{j} ξ_{j}^{2}$ be a quadratic form with signs $σ_{j} \in {\pm 1}$ not all equal. Let $S \subset \mathbb{R}^{d…

math.CA2019

Fourier uniqueness pairs of powers of integers

João P. G. Ramos, Mateus Sousa

We prove, under certain conditions on $(α, β)$ , that each Schwartz function $f$ such that $f (\pm n^{α}) = f^(\pm n^{β}) = 0, \forall n \geq 0$ must vanish identically, complementing…

math.CA2018★ 5 cited

Extremizers for adjoint Fourier restriction on hyperboloids: the higher dimensional case

Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa +1

We prove that in dimensions $d \geq 3$ , the non-endpoint, Lorentz-invariant $L^{2} \to L^{p}$ adjoint Fourier restriction inequality on the $d$ -dimensional hyperboloid $\mathbb{H}^d \s…

math.CA2017★ 11 cited

Regularity of maximal functions on Hardy-Sobolev spaces

Carlos Pérez, Tiago Picon, Olli Saari +1

We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy-Sobolev spaces $H ˙^{1, p} (R^{d})$ when $1/p < 1+1/d…

math.CA2017★ 15 cited

Sharp mixed norm spherical restriction

Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa

Let $d \geq 2$ be an integer and let $2 d / (d - 1) < q \leq \infty$ . In this paper we investigate the sharp form of the mixed norm Fourier extension inequality \begin{equation*} \big\|\…

math.CA2017★ 19 cited

Extremizers for Fourier restriction on hyperboloids

Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa

The $L^{2} \to L^{p}$ adjoint Fourier restriction inequality on the $d$ -dimensional hyperboloid $H^{d} \subset R^{d + 1}$ holds provided $6 \leq p < \infty$ , if $d = 1$ , an…

math.AP2015★ 18 cited

On the variation of maximal operators of convolution type II

Emanuel Carneiro, Renan Finder, Mateus Sousa

In this paper we establish that several maximal operators of convolution type, associated to elliptic and parabolic equations, are variation-diminishing. Our study considers maxima…