Kakeya-Brascamp-Lieb inequalities

DOI10.1007/s13348-019-00273-2zbMath1451.26034arXiv1807.09604OpenAlexW2883407771WikidataQ126787440 ScholiaQ126787440MaRDI QIDQ785509

Pavel Zorin-Kranich

Publication date: 7 August 2020

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09604

zbMATH Keywords

Brascamp-Lieb inequalityendpoint multilinear Kakeya inequalitylocal discrete Brascamp-Lieb inequality

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Inequalities for sums, series and integrals (26D15)

Related Items (3)

A family of sharp inequalities on real spheres ⋮ Decoupling inequalities for quadratic forms ⋮ An algebraic Brascamp-Lieb inequality

Cites Work

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• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• Transversal multilinear Radon-like transforms: local and global estimates
• A study guide for the \(l^{2}\) decoupling theorem
• The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
• Bounds on oscillatory integral operators based on multilinear estimates
• Gaussian kernels have only Gaussian maximizers
• On the multilinear restriction and Kakeya conjectures
• Factorization of positive multilinear maps
• A generalization of Hölder's inequality and some probability inequalities
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• The endpoint perturbed Brascamp-Lieb inequalities with examples
• Algorithmic and optimization aspects of Brascamp-Lieb inequalities, via operator scaling
• The endpoint multilinear Kakeya theorem via the Borsuk-Ulam theorem
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems
• The proof of the \(l^2\) decoupling conjecture
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Convex Bodies Associated with a Given Convex Body
• Stability of the Brascamp-Lieb constant and applications
• Behaviour of the Brascamp–Lieb constant
• A short proof of the multilinear Kakeya inequality
• An inequality related to the isoperimetric inequality
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler

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