Miquel Saucedo
CRM, Universitat Autonoma de Barcelona, Spain

Topic: Every classical inequality for the Fourier operator is trivial
Time: Thursday, April 3rd, 11:00 AM-12:30 PM CEST
Where: Leslokaal 3.2 (Krijgslaan 281, Building S8, Ghent University)

In this talk, we will see that if the Fourier operator is bounded between two classical spaces (for instance, rearrangement invariant spaces), then every operator that maps L1 and L2 to Linfty and L2, respectively, must also be bounded. We will also discuss why this means that there cannot be any “interesting” classical Fourier inequalities and give some applications. This is joint work with Sergey Tikhonov.