Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS(2024)
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.
更多查看译文
关键词
Logarithmic Sobolev inequality,Talagrand inequality,hypercontractivity,Hamilton-Jacobi equation,Carnot-Caratheodory distance,Carnot groups
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要