Beckner inequalities for Moebius measures on spheres

DOI10.1051/ps/2018025zbMath1481.60044OpenAlexW2902058040MaRDI QIDQ5228350

Zhengliang Zhang, Nian Yao

Publication date: 12 August 2019

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ps/2018025

zbMATH Keywords

logarithmic Sobolev inequalitiesPoincaré inequalitiesunit spheresMoebius measuresBeckner inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Logarithmic Sobolev and Poincaré inequalities for the circular Cauchy distribution
• An equivalent condition between Poincaré inequality and \(T_{2}\)-transportation cost inequality
• Sobolev inequalities for harmonic measures on spheres
• Logarithmic Sobolev inequalities for harmonic measures on spheres
• A Generalized Poincare Inequality for Gaussian Measures
• Sobolev inequalities for probability measures on the real line
• Analysis and Geometry of Markov Diffusion Operators
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