Some nonlinear Brascamp-Lieb inequalities and applications to harmonic analysis

DOI10.1016/J.JFA.2010.07.015zbMath1213.26021arXiv0906.2064OpenAlexW1987501913MaRDI QIDQ709220

Neal Bez, Jonathan M. Bennett

Publication date: 18 October 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2064

zbMATH Keywords

Brascamp-Lieb inequalitiesFourier extension estimatesinduction-on-scales

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Inequalities for sums, series and integrals (26D15)

Related Items (19)

Transversal multilinear Radon-like transforms: local and global estimates ⋮ Global nonlinear Brascamp-Lieb inequalities ⋮ Fourier duality in the Brascamp–Lieb inequality ⋮ The endpoint perturbed Brascamp-Lieb inequalities with examples ⋮ Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system ⋮ A short proof of the multilinear Kakeya inequality ⋮ \(L^p\) estimates for bilinear generalized Radon transforms in the plane ⋮ Convolutions of singular measures and applications to the Zakharov system ⋮ \(L^p\) improving multilinear Radon-like transforms ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation ⋮ An algebraic Brascamp-Lieb inequality ⋮ Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling ⋮ Transference of bilinear restriction estimates to quadratic variation norms and the Dirac-Klein-Gordon system ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ On multilinear determinant functionals ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension ⋮ Generating monotone quantities for the heat equation ⋮ Uniform geometric estimates of sublevel sets

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