Fourier duality in the Brascamp–Lieb inequality

DOI10.1017/S0305004121000608zbMath1506.42031arXiv2011.13762OpenAlexW3203502970MaRDI QIDQ5097478

No author found.

Publication date: 24 August 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13762

zbMATH Keywords

multilinear inequalitiesnear-extremizersBrascamp-Lieb constants

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Radon transform (44A12) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving derivatives and differential and integral operators (26D10) Harmonic analysis and PDEs (42B37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\)
• Large values of the Gowers-Host-Kra seminorms
• Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis
• Gaussian kernels have only Gaussian maximizers
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities in Fourier analysis
• Sharpness of the Brascamp-Lieb inequality in Lorentz spaces
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• On the nonlinear Brascamp-Lieb inequality
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• Functions of nearly maximal Gowers-Host-Kra norms on Euclidean spaces
• Brascamp-Lieb inequalities on compact homogeneous spaces
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Singular Brascamp–Lieb: A Survey
• On Certain Sets of Integers
• Principles of harmonic analysis
• A new proof of Szemerédi's theorem

This page was built for publication: Fourier duality in the Brascamp–Lieb inequality