Hamming cube and martingales

DOI10.1016/j.crma.2017.09.013zbMath1379.42009OpenAlexW2763135263MaRDI QIDQ1677879

Paata Ivanisvili, Alexander Volberg, F. L. Nazarov

Publication date: 13 November 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.09.013

zbMATH Keywords

martingaleHamming cubeBeckner inequality

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Martingales and classical analysis (60G46) Harmonic analysis and PDEs (42B37)

Related Items (3)

Poincaré inequality 3/2 on the Hamming cube ⋮ Exponential integrability in Gauss space ⋮ Contractivity of gamma Wick products

Cites Work

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• Improving Beckner's bound via Hermite functions
• Poincaré type inequalities on the discrete cube and in the CAR algebra
• On the \(L^p\) norms of stochastic integrals and other martingales
• Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
• Discrete isoperimetric and Poincaré-type inequalities
• Hessian of Bellman functions and uniqueness of the Brascamp–Lieb inequality
• Sharp Square-Function Inequalities for Conditionally Symmetric Martingales
• Square functions and the Hamming cube: duality

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