6 citations · 6 across the 1 of their papers we have counts for
2 papers
math.CA2012★ 6 cited
Nonexistence of extremizers for certain convex curves
Diogo Oliveira e Silva
We establish the nonexistence of extremizers for a local Fourier restriction inequality on a certain class of planar convex curves whose curvature satisfies a natural assumption. W…
math.CA2011
On Trilinear Oscillatory Integrals
Michael Christ, Diogo Oliveira e Silva
We examine a certain class of trilinear integral operators which incorporate oscillatory factors e^{iP}, where P is a real-valued polynomial, and prove smallness of such integrals…