Diogo Oliveira e Silva

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20242026

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math.CA2026

Existence of maximizers for $L^{p}$ Fourier extension from the hyperbolic paraboloid

Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall

We prove that maximizers exist and that maximizing sequences possess subsequences that converge modulo symmetries to maximizers for the $L^{p} \to L^{q}$ Fourier extension inequalities…

math.CA2025

Sharp endpoint extension inequalities for the moment curve on finite fields

Chandan Biswas, Emanuel Carneiro, Taryn C. Flock +3

We investigate the sharp endpoint extension inequality for the moment curve in finite fields. We determine the optimal constant and characterize the maximizers in two complementary…

math.CA2024

On sharp Fourier extension from spheres in arbitrary dimensions

Emanuel Carneiro, Giuseppe Negro, Diogo Oliveira e Silva

We prove a new family of sharp $L^{2} (S^{d - 1}) \to L^{4} (R^{d})$ Fourier extension inequalities from the unit sphere $S^{d - 1} \subset R^{d}$ , valid in arbitra…

Existence of maximizers for Lp Fourier extension from the hyperbolic paraboloid

Sharp endpoint extension inequalities for the moment curve on finite fields

On sharp Fourier extension from spheres in arbitrary dimensions

Existence of maximizers for $L^{p}$ Fourier extension from the hyperbolic paraboloid