100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Oscar Dominguez

Limit theorems of fractional Sobolev spaces via interpolation/extrapolation
Lundi, 28 Février, 2022 - 13:30
Résumé : 

A famous result by Bourgain--Brezis--Mironescu (BBM) asserts that standard Sobolev spaces can be recovered by taking limits of certain normalizations of the Gagliardo seminorms. In this talk, we show that these normalizations are not specific to Sobolev spaces, but they are part of a rather general phenomenon based on interpolation/extrapolation theory. This abstract perspective enables us to obtain BBM for fractional Sobolev spaces via new extensions of the classical Gagliardo seminorms: the so-called Butzer seminorms. This is joint work with Mario Milman.

Institution de l'orateur : 
Universidad Complutense de Madrid
Thème de recherche : 
Physique mathématique
Salle : 
1, Tour Irma
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