### Adjoint Brascamp--Lieb inequalities

Analysis and Geometry Seminar

10th October 2024, 3:00 pm – 4:00 pm

Fry Building, 2.04

The Brascamp--Lieb inequalities are generalisations of the Hölder, Loomis-Whitney and Young convolution inequalities, and have found many applications in harmonic analysis in recent years. In this talk we present an "adjoint" form of these inequalities and describe some of their applications. In particular we establish lower bounds on some well-known tomographic transforms, such as the classical X-ray and Radon transforms. This is joint work with Terence Tao.

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