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12 papers · 1 filter
Local maximizers of adjoint Fourier restriction estimates for the cone, paraboloid and sphere
Felipe Gonçalves, Giuseppe Negro
We show that, possibly after a compactification of spacetime, constant functions are local maximizers of the Tomas-Stein adjoint Fourier restriction inequality for the cone and par…
Band-limited maximizers for a Fourier extension inequality on the circle
Diogo Oliveira e Silva, Christoph Thiele, Pavel Zorin-Kranich
Among the class of functions with Fourier modes up to degree 30, constant functions are the unique real-valued maximizers for the endpoint Tomas-Stein inequality on the circle.
Sharp Strichartz inequalities for fractional and higher order Schrödinger equations
Gianmarco Brocchi, Diogo Oliveira e Silva, René Quilodrán
We investigate a class of sharp Fourier extension inequalities on the planar curves , . We identify the mechanism responsible for the possible loss of compactness of…
Extremizers for Fourier restriction on hyperboloids
Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa
The adjoint Fourier restriction inequality on the -dimensional hyperboloid holds provided , if , an…
A variational nonlinear Hausdorff-Young inequality in the discrete setting
Diogo Oliveira e Silva
Following the works of Lyons and Oberlin, Seeger, Tao, Thiele and Wright, we relate the variation of certain discrete curves on the Lie group to the corresponding…
A sharp nonlinear Hausdorff-Young inequality for small potentials
Vjekoslav Kovač, Diogo Oliveira e Silva, Jelena Rupčić
The nonlinear Hausdorff-Young inequality follows from the work of Christ and Kiselev. Later Muscalu, Tao, and Thiele asked if the constants can be chosen independently of the expon…