The endpoint perturbed Brascamp-Lieb inequalities with examples

DOI10.2140/apde.2018.11.555zbMath1378.42008arXiv1510.09132OpenAlexW3104968276MaRDI QIDQ1686229

Ruixiang Zhang

Publication date: 21 December 2017

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.09132

zbMATH Keywords

polynomial methodBrascamp-Lieb inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Related Items (11)

Joints of varieties ⋮ Decoupling inequalities for quadratic forms ⋮ Multilinear duality and factorisation for Brascamp-Lieb-type inequalities ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ An algebraic Brascamp-Lieb inequality ⋮ Restriction estimates to complex hypersurfaces ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems ⋮ \(L^p\)-improving estimates for Radon-like operators and the Kakeya-Brascamp-Lieb inequality ⋮ Kakeya-Brascamp-Lieb inequalities ⋮ A bilinear proof of decoupling for the cubic moment curve

Cites Work

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• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
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• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• A restriction estimate using polynomial partitioning
• A short proof of the multilinear Kakeya inequality

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