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SUMMARY:Maximal and Variational Fourier Restriction Theory - Diogo Oliveir
 a e Silva\, University of Birmingham
DTSTART:20190311T150000Z
DTEND:20190311T160000Z
UID:TALK119041@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:ller\, Ricci\, and Wright recently established the first "maxi
 mal restriction theorem" for the Fourier transform. As a direct consequenc
 e\, they clarified certain subtle measure theoretic aspects underlying Fou
 rier restriction theory. In the first part of this talk\, we will give a b
 rief introduction to the restriction problem\, and illustrate its importan
 ce in modern analysis. We will then focus on the endpoint Tomas-Stein ineq
 uality in 3-dimensional Euclidean space\, together with its maximal and va
 riational variants\, for which especially simple proofs are available. Fin
 ally\, we will describe a recent generalisation\, and present some open pr
 oblems.\nThis is partly based on joint work with Vjekoslav Kovač.
LOCATION:CMS\, MR13
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