Hardy-Littlewood-Sobolev inequalities for homogeneous differential operators

English

Séminaire AMAC: EDP-AIRSEA-CVGI

20/02/2020 - 11:00 Mr Tiago Picon (University of São Paulo (Brazil)) Salle 106 - Batiment IMAG 

In this lecture we present a new characterization of Hardy-Littlewood-Sobolev inequalities in L^{1} norm for homogeneous linear differential operators with constant coefficients. Variants and applications are presented, in particular a version of L^{1} Stein-Weiss inequality for vector fields. 

This is joint work with Jorge Hounie (UFSCar - Brazil) and (working in progress) with Pablo De Napoli (UBA - Argentine).