Sharpness of the Brascamp-Lieb inequality in Lorentz spaces

DOI10.3934/era.2017.24.006zbMath1404.35005OpenAlexW2625776739MaRDI QIDQ1757287

Neal Bez, Shohei Nakamura, Sanghyuk Lee, Yoshihiro Sawano

Publication date: 3 January 2019

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2017.24.006

zbMATH Keywords

range of Lorentz exponentsrefinements of the Strichartz estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Fourier duality in the Brascamp–Lieb inequality ⋮ Estimates for more Brascamp-Lieb forms in \(L^p\)-spaces with power weights ⋮ Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians ⋮ Estimates for Brascamp-Lieb forms in $L^p$-spaces with power weights ⋮ On the Strichartz estimates for orthonormal systems of initial data with regularity ⋮ Maximal estimates for the Schrödinger equation with orthonormal initial data

Cites Work

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• Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\)
• The endpoint case of the Bennett-Carbery-Tao multilinear Kakeya conjecture
• Estimates for a family of multi-linear forms
• Counterexamples to Strichartz estimates for the kinetic transport equation based on Besicovitch sets
• Gaussian kernels have only Gaussian maximizers
• On the multilinear restriction and Kakeya conjectures
• Optimisers for the Brascamp-Lieb inequality
• 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
• Estimates for the scattering map associated with a two-dimensional first-order system
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities
• Endpoint Strichartz estimate for the kinetic transport equation in one dimension
• The Brascamp-Lieb inequalities: Finiteness, structure and extremals
• Extrapolation with weights, rearrangement-invariant function spaces, modular inequalities and applications to singular integrals
• Convolution operators and L(p, q) spaces
• On the Strichartz Estimates for the Kinetic Transport Equation
• Strichartz Estimates for the Kinetic Transport Equation
• On Plancherel's identity for a two-dimensional scattering transform
• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• Endpoint Strichartz estimates
• Stability of the Brascamp-Lieb constant and applications
• On extremizing sequences for the adjoint restriction inequality on the cone

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