3 papers
math.CA2025
Mizohata-Takeuchi inequalities for orthonormal systems
Jonathan Bennett, Neal Bez, Susana Gutierrez +2
We establish some weighted inequalities for Fourier extension operators in the setting of orthonormal systems. In the process we develop a direct approach to such inequalitie…
math.CA2024
A phase-space approach to weighted Fourier extension inequalities
Jonathan Bennett, Susana Gutierrez, Shohei Nakamura +1
The purpose of this paper is to expose and investigate natural phase-space formulations of two longstanding problems in the restriction theory of the Fourier transform. These probl…
math.AP2013
On the Strichartz estimates for the kinetic transport equation
Jonathan Bennett, Neal Bez, Susana Gutierrez +1
We show that the endpoint Strichartz estimate for the kinetic transport equation is false in all dimensions. We also present a new approach to proving the non-endpoint cases using…