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arXiv · 2109.12590

A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups

Ye Zhang
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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.

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Ye Zhang. 2021-09-26. A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups. https://arxiv.org/abs/2109.12590

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