Variants of the Christ-Kiselev lemma and an application to the maximal Fourier restriction

Series
Analysis Seminar
Time
Wednesday, September 25, 2019 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Vjekoslav Kovac – University of Zagreb
Organizer
Shahaf Nitzan

Back in the year 2000, Christ and Kiselev introduced a useful "maximal trick" in their study of spectral properties of Schro edinger operators.
The trick was completely abstract and only at the level of basic functional analysis and measure theory. Over the years it was reproven,
generalized, and reused by many authors. We will present its recent application in the theory of restriction of the Fourier transform to
surfaces in the Euclidean space.