학술논문
On the H.-Q. Li inequality on step-two Carnot groups
Document Type
article
Author
Source
Comptes Rendus. Mathématique, Vol 361, Iss G7, Pp 1107-1114 (2023)
Subject
Language
English
French
French
ISSN
1778-3569
Abstract
In this note we show that the gradient estimate of the heat semigroup, or more precisely the H.-Q. Li inequality, is preserved under tensorization, some suitable group epimorphism, and central sum. We also establish the Riemannian counterpart of the H.-Q. Li inequality. As a byproduct, we provide a simpler proof of the fact that the constant in H.-Q. Li inequality is strictly larger than $1$.