A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups
Analysis of PDEs
2021-10-07 v2
Abstract
In this note we obtain gradient estimates for the heat semigroup on nonisotropic Heisenberg groups. More precisely, our aim is to get the H.-Q. Li inequality on nonisotropic Heisenberg groups, which is a generalization of the original result on the classical Heisenberg group of dimension 3 and a counterpart of the inequality on the H-type groups. Our proof is based on a Cheeger type inequality, which is an approach proposed by Bakry et al.
Keywords
Cite
@article{arxiv.2109.12590,
title = {A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups},
author = {Ye Zhang},
journal= {arXiv preprint arXiv:2109.12590},
year = {2021}
}
Comments
This version is only a draft and is not intended for publishing