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

@inproceedings{Zhang2021ANO, title={A note on gradient estimates for the heat semigroup on nonisotropic Heisenberg groups}, author={Ye Zhang}, year={2021} }

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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