Regularized Brascamp–lieb Inequalities and an Application

Regularized Brascamp–lieb Inequalities and an Application

Abstract We present a certain regularized version of Brascamp–Lieb inequalities studied by Bennett, Carbery, Christ and Tao. Using the induction-on-scales method of Guth, these regularized inequalities lead to a generalization of the multilinear Kakeya inequality.

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Veröffentlicht in:Quarterly journal of mathematics 2022-03, Vol.73 (1), p.311-331
1. Verfasser: Maldague, Dominique
Format: Artikel
Sprache:eng
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Zusammenfassung:Abstract We present a certain regularized version of Brascamp–Lieb inequalities studied by Bennett, Carbery, Christ and Tao. Using the induction-on-scales method of Guth, these regularized inequalities lead to a generalization of the multilinear Kakeya inequality.
ISSN:0033-5606
1464-3847
DOI:10.1093/qmath/haab032