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Hardy-Littlewood-Sobolev inequalities for homogeneous differential operators

Speaker: 
Tiago Picon
Institution: 
USP - Brazil
Schedule: 
Thursday, November 7, 2019 - 16:00
Location: 
Luigi Stasi Seminar Room, ICTP
Abstract: 

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 (work in progress) with Pablo De Napoli (UBA - Argentina).

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