APDE seminar@BCAM: Every classical inequality for the Fourier operator is trivial
Data: Og, Ots 27 2025
Ordua: 17:00 - 18:00
Lekua: Maryam Mirzakhani Seminar Room at BCAM
Hizlariak: 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.
Antolatzaileak:
APDE Bilbao (BCAM & UPV/EHU)
Hizlari baieztatuak:
Miquel Saucedo (he/him) (CRM Barcelona)
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