This is a conjecture on weighted estimates for the classical Fourier extension operators of harmonic analysis. In particular, let E be the extension operator associated to some surface, and g be a function on that surface. If we 'erase' part of Eg, how well can we control the 2-norm of the remaining piece? The Mizohata-Takeuchi conjecture claims some remarkable control on this quantity, involving the X-ray transform of the part of the support of Ef that we kept. In this talk we will discuss the basics and history of the problem, as well as some small progress. This is joint work with Anthony Carbery and Hong Wang.
Some small progress on the Mizohata-Takeuchi conjecture
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Nom de l'orateur
Marina Iliopoulou
Etablissement de l'orateur
University of Birmingham
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires