Exponential integrability in Gauss space

DOI10.2140/apde.2023.16.1271arXiv2004.09704OpenAlexW4385853155MaRDI QIDQ6134623

Ryan P. Russell, Paata Ivanisvili

Publication date: 22 August 2023

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09704

zbMATH Keywords

heat flowGauss spaceexponential integrabilitymeasure concentration

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities involving derivatives and differential and integral operators (26D10) Convexity properties of solutions to PDEs with constant coefficients (35E10)

Related Items (1)

On Gilles Pisier's approach to Gaussian concentration, isoperimetry, and Poincaré-type inequalities

Cites Work

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• Poincaré type inequalities on the discrete cube and in the CAR algebra
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Hamming cube and martingales
• On the positivity of the effective action in a theory of random surfaces
• Sharp moment estimates for martingales with uniformly bounded square functions
• Poincaré inequality 3/2 on the Hamming cube
• Analysis in Banach Spaces
• Isoperimetric Functional Inequalities via the Maximum Principle: The Exterior Differential Systems Approach
• Square functions and the Hamming cube: duality
• Monotonicity properties of optimal transportation and the FKG and related inequalities

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