Seminario Dottorato: “Brascamp-Lieb inequalities and heat-flow monotonicity”

Wednesday 30 May 2018, h. 14:30 - Room 2BC30 - Roberto Bramati

ARGOMENTI: Seminari Dottorato

Wednesday 30 May 2018 h. 14:30, Room 2BC30
Roberto Bramati (Padova, Dip. Mat.)
“Brascamp-Lieb inequalities and heat-flow monotonicity"

Many well-known multilinear integral inequalities in Euclidean analysis, such as Hölder's and Young's inequalities, share a common feature: they are instances of the so called Brascamp-Lieb inequalities.
In this introductory talk we will describe these inequalities and show how they can be derived as a consequence of a monotonicity property associated to the heat flow.
We will also discuss to what extent some of the ideas and techniques can be adapted to non-Euclidean settings. In particular we will present a family of inequalities on real spheres involving functions that possess some kind of symmetry.

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