The nonlinear Brascamp-Lieb inequality and applications

Abstract: The Brascamp-Lieb inequality is a broad generalisation of many well-known multilinear inequalities in analysis, including the multilinear Hölder, Loomis-Whitney and sharp Young convolution inequalities. There is by now a rich theory surrounding this classical inequality, along with applications in convex geometry, harmonic analysis, partial differential equations, number theory and beyond. In this talk we present a certain nonlinear variant of the Brascamp-Lieb inequality, placing particular emphasis on some of its applications. Most of this is joint work with Stefan Buschenhenke, Neal Bez, Michael Cowling and Taryn Flock.

classical analysis and ODEsfunctional analysisrepresentation theoryspectral theory

Audience: researchers in the topic

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