Note on the q-logarithmic Sobolev and p-Talagrand inequalities on Carnot groups
File(s)Manuscript_BouDagher.pdf (426.65 KB)
Accepted version
Author(s)
Bou Dagher, E
Type
Journal Article
Abstract
In the setting of Carnot groups, we prove the q-logarithmic Sobolev inequality for probability measures as a function of the Carnot–Carathéodory distance. As an application, we use the Hamilton–Jacobi equation in the setting of Carnot groups to prove the p-Talagrand inequality and hypercontractivity.
Date Issued
2024-04-01
Date Acceptance
2022-09-15
Citation
Communications in Contemporary Mathematics, 2024, 26 (03)
ISSN
0219-1997
Publisher
World Scientific Pub Co Pte Ltd
Journal / Book Title
Communications in Contemporary Mathematics
Volume
26
Issue
03
Copyright Statement
© 2022 World Scientific Publishing Co Pte Ltd.
Publication Status
Published
Article Number
2250070
Date Publish Online
2022-11-10