Work

Adjoint Brascamp–Lieb inequalities

Year: 2024

Type: article

Abstract: The Brascamp–Lieb inequalities are a generalization of the Hölder, Loomis–Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhere. In this paper, we introduce an “adjoint” version of these inequalities, which can be viewed as an version of the entropic Brascamp–Lieb inequalities of Carlen and Cordero–Erausquin. As applications, we reprove a log‐convexity property of the Gowers uniformity norms, and establish some reverse inequalities for various tomographic transforms. We conclude with some open questions.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12633

Authors: Jonathan Bennett, Terence Tao

Institutions: University of Birmingham, University of California, Los Angeles

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,520

Funders: National Science Foundation, Simons Foundation, Engineering and Physical Sciences Research Council