Diogo Oliveira e Silva

works on

fourier extension 1 functional inequalities 1 hyperbolic paraboloid 1 maximizers 1 symmetry 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.CA2026

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

Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall

The paper proves that for the Fourier extension operator associated with the three‑dimensional hyperbolic paraboloid, maximizers exist for the $L^{p} \to L^{q}$ inequality and that any…

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.CA2025

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