Optimisers for the Brascamp-Lieb inequality

DOI10.1007/s11856-008-1067-1zbMath1159.26007OpenAlexW2130982575MaRDI QIDQ1001430

Stefán Ingi Valdimarsson

Publication date: 17 February 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-008-1067-1

zbMATH Keywords

integrationfunctional analysisHölder's inequalityYoung's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (7)

Inequality on the optimal constant of Young's convolution inequality for locally compact groups and their closed subgroups ⋮ Sharpness of the Brascamp-Lieb inequality in Lorentz spaces ⋮ Nonlinear flows and rigidity results on compact manifolds ⋮ Closure properties of solutions to heat inequalities ⋮ Euclidean forward-reverse Brascamp-Lieb inequalities: finiteness, structure, and extremals ⋮ Volume inequalities for complex isotropic measures ⋮ Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities

Cites Work

• Gaussian kernels have only Gaussian maximizers
• On a reverse form of the Brascamp-Lieb inequality
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• Inequalities in Fourier analysis
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• The Brascamp–Lieb Polyhedron

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