Student Harmonic Analysis and PDE Seminar (HADES): Behavior of the Brascamp–Lieb constant

Seminar | February 21 | 3:40-5 p.m. | 740 Evans Hall

 Taryn Flock, University of Birmingham

 Department of Mathematics

Brascamp-Lieb inequality generalizes many inequalities in analysis, including the Holder, Loomis-Whitney, and Young convolution inequalities. Sharp constants for such inequalities have a long history and have only been determined in a few cases. We investigate the stability and regularity of the sharp constant as a function of the implicit parameters. The focus of the talk will be a local-boundedness result with several applications including a nonlinear generalization with connections to PDEs and Bourgain and Demeter's decoupling method. This is joint work with Jonathan Bennett, Neal Bez, Michael Cowling and Sanghyuk Lee. This talk is intended to be accessible to graduate students of all levels with a strong interest in analysis; examples will abound.