Mateus Sousa

activity

20152023

most citedExtremizers for Fourier restriction on hyperboloids

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

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Showing 2017Show all

3 papers · 1 filter

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…