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SUMMARY:Marina Iliopoulou (University of Kent)
DTSTART:20220309T170000Z
DTEND:20220309T180000Z
DTSTAMP:20260423T021145Z
UID:HAeS/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/29/">So
 me remarks on the Mizohata-Takeuchi conjecture</a>\nby Marina Iliopoulou (
 University of Kent) as part of Harmonic analysis e-seminars\n\n\nAbstract\
 nThis is a conjecture on weighted estimates for the classical Fourier exte
 nsion operators of harmonic analysis. In particular\, let E be the extensi
 on operator associated to some surface\, and f be a function on that surfa
 ce. If we 'erase' part of Ef\, how well can we control the 2-norm of the r
 emaining piece? The Mizohata-Takeuchi conjecture claims some remarkable co
 ntrol 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 history of th
 e problem\, and will describe a new perspective that modestly improves our
  knowledge (for a certain class of weights). This is joint work with A. Ca
 rbery.\n
LOCATION:https://researchseminars.org/talk/HAeS/29/
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