Poincaré inequality 3/2 on the Hamming cube

DOI10.4171/rmi/1122zbMath1437.42036arXiv1608.04021OpenAlexW2974661461MaRDI QIDQ2177512

Paata Ivanisvili, Alexander Volberg

Publication date: 6 May 2020

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.04021

zbMATH Keywords

Poincaré inequalitySobolev inequalitylog-Sobolev inequalityGaussian measureHamming cubeBeckner inequalitytwo-point inequality

Mathematics Subject Classification ID

Gaussian processes (60G15) Nonlinear parabolic equations (35K55) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Measures and integration on abstract linear spaces (46G12) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Harmonic analysis and PDEs (42B37)

Related Items (2)

Convolution estimates and number of disjoint partitions ⋮ Exponential integrability in Gauss space

Cites Work

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