Emanuel Carneiro

collaborators

2 papers

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…