Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups

被引：1

作者：

Dagher, Esther Bou ^{[1
]}

机构：

[1] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2024年 / 26卷 / 03期

关键词：

Logarithmic Sobolev inequality; Talagrand inequality; hypercontractivity; Hamilton-Jacobi equation; Carnot-Caratheodory distance; Carnot groups; HOPF-LAX FORMULA; TRANSPORTATION COST;

D O I：

10.1142/S0219199722500705

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the setting of Carnot groups, we prove the q-logarithmic Sobolev inequality for probability measures as a function of the Carnot-Caratheodory distance. As an application, we use the Hamilton Jacobi equation in the setting of Carnot groups to prove the p-Talagrand inequality and hypercontractivity.

引用

页数：18

共 33 条

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