A multilinear generalisation of the Cauchy-Schwarz inequality

DOI10.1090/S0002-9939-04-07565-3zbMath1043.05011MaRDI QIDQ4813741

Anthony Carbery

Publication date: 13 August 2004

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

zbMATH Keywords

Cauchy-Schwarz inequalitymultilinear inequality

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Harmonic analysis in several variables (42B99)

Related Items (6)

Sharp \(L^p\)-\(L^q\) estimates for generalized \(k\)-plane transforms ⋮ Some new results on higher energies ⋮ Generalizations of Cauchy-Schwarz inequality in unitary spaces ⋮ Another proof of Hrölder's inequality ⋮ Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation ⋮ Simple graph density inequalities with no sum of squares proofs

Cites Work

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• 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
• Sharp inequalities and geometric manifolds
• Bounds on arithmetic projections, and applications to the Kakeya conjecture
• A general rearrangement inequality for multiple integrals
• Restriction and Kakeya phenomena for finite fields
• Geometric asymptotics and the logarithmic Sobolev inequality

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