Modified Logarithmic Sobolev Inequalities and Transportation Cost Inequalities in ℝ n

Jinghai Shao

Type: Article

Publication Date: 2009-04-13

Citations: 2

DOI: https://doi.org/10.1007/s11118-009-9131-y

View Publication

Locations

Potential Analysis - View

Similar Works

Action	Title	Year	Authors
+	Free logarithmic Sobolev inequalities and free transportation cost inequalities (作用素環における量子解析の展開研究集会報告集)	2004	文雄日合好道植田
+ PDF Chat	Modified logarithmic Sobolev inequalities and transportation inequalities	2005	Ivan Gentil Arnaud Guillin Laurent Miclo
+	Modified logarithmic Sobolev inequalities and transportation inequalities	2004	Ivan Gentil Arnaud Guillin Laurent Miclo
+ PDF Chat	Modified Logarithmic Sobolev Inequalities on $\mathbb{R}$	2008	Franck Barthe Cyril Roberto
+	Modified Brascamp-Lieb inequalities and log-Sobolev inequalities for one-dimensional log-concave measure	2025	Denghui Wu Jiazu Zhou
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross
+	Logarithmic Sobolev inequalities for differentiable paths	2000	Rémi Léandre
+	Logarithmic Sobolev Inequalities of Diffusions for the $$L^2$$ Metric	2006	Mathieu Gourcy Liming Wu
+	Weighted Moser–Onofri–Beckner and Logarithmic Sobolev Inequalities	2017	Nguyen Lam Guozhen Lu
+	Logarithmic Sobolev inequalities	1989	E. B. Davies
+	Mass transport and variants of the logarithmic Sobolev inequality	2007	Franck Barthe Alexander V. Kolesnikov
+ PDF Chat	Mass Transport and Variants of the Logarithmic Sobolev Inequality	2008	Franck Barthe Alexander V. Kolesnikov
+ PDF Chat	Concentration of measure and logarithmic Sobolev inequalities	1999	Michel Ledoux
+	Sharp weighted Sobolev and Gagliardo–Nirenberg inequalities on half-spaces via mass transport and consequences	2015	Van Hoang Nguyen
+	Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities	2014	Ying Ding
+	Reversed Hardy-Littlewood-Sobolev Type Inequality on $${\mathbb {R}}^{n-m}\times {\mathbb {R}}^{n}$$	2024	Xiang Li Minbo Yang
+	Sharp weighted Sobolev and Gagliardo-Nirenberg inequalities on half space via mass transport and consequences	2013	Van Hoang Nguyen
+ PDF Chat	Weak logarithmic Sobolev inequalities and entropic convergence	2007	Patrick Cattiaux Ivan Gentil Arnaud Guillin
+	Logarithmic Sobolev inequality revisited	2017	Hoài-Minh Nguyên Marco Squassina
+	Rearrangement and the weighted logarithmic Sobolev inequality	2021	Jiang Minghong Jianmiao Ruan Zhu Xiang-rong

Works That Cite This (2)

Action	Title	Year	Authors
+ PDF Chat	Functional Inequalities for Two-Level Concentration	2021	Franck Barthe Michał Strzelecki
+ PDF Chat	Moment estimates implied by modified log-Sobolev inequalities	2017	Radosław Adamczak Witold Bednorz Paweł Wolff

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Functional Inequalities for Markov semigroups	2004	Dominique Bakry
+	Entropy Bounds and Isoperimetry	2005	Serguei G. Bobkov Bogusław Zegarliński
+ PDF Chat	Modified Logarithmic Sobolev Inequalities on $\mathbb{R}$	2008	Franck Barthe Cyril Roberto
+ PDF Chat	A Riemannian interpolation inequality à la Borell, Brascamp and Lieb	2001	Dario Cordero–Erausquin Robert J. McCann Michael Schmuckenschläger
+ PDF Chat	Modified logarithmic Sobolev inequalities and transportation inequalities	2005	Ivan Gentil Arnaud Guillin Laurent Miclo
+ PDF Chat	The Brunn-Minkowski inequality	2002	Richard J. Gardner
+	A Generalization of Poincaré and Log-Sobolev Inequalities	2005	Feng‐Yu Wang
+ PDF Chat	Measure transport on Wiener space and the Girsanov theorem	2002	Denis Feyel Ali Süleyman Üstünel
+	Hypercontractivity of Hamilton–Jacobi equations	2001	Sergey G. Bobkov Ivan Gentil Michel Ledoux
+	From super Poincaré to weighted log-Sobolev and entropy-cost inequalities	2008	Feng‐Yu Wang