APDE seminar@BCAM: Every classical inequality for the Fourier operator is trivial

Date: Thu, Feb 27 2025

Hour: 17:00 - 18:00

Location: Maryam Mirzakhani Seminar Room at BCAM

Speakers: Miquel Saucedo (he/him) (CRM Barcelona)

Abstract

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 which maps L^1 and L^2 to L^\infty and L^2, 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. Joint work with Sergey Tikhonov.

Organizers:

APDE Bilbao (BCAM & UPV/EHU)

Confirmed speakers:

Miquel Saucedo (he/him) (CRM Barcelona)