Maximal and Variational Fourier Restriction Theory

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• Diogo Oliveira e Silva, University of Birmingham
• Monday 11 March 2019, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

ller, 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 Kovač.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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