Starts 17 Dec 2018 11:00
Ends 17 Dec 2018 12:00
Central European Time
ICTP
Leonardo Building - Luigi Stasi Seminar Room
Müller, Ricci, and Wright recently established the first "maximal restriction theorem" for the Fourier transform. As a direct consequence, they clarified certain subtle measure theoretic aspects underlying Fourier restriction theory. In the first part of this talk, we will give a brief introduction to the restriction problem, and illustrate its importance in modern analysis. We will then focus on the endpoint Tomas-Stein inequality in 3-dimensional Euclidean space, together with its maximal and variational variants, for which especially simple proofs are available. Finally, we will describe a recent generalisation, and present some open problems.

This is partly based on joint work with Vjekoslav Kovac.