Corpus ID: 237940384

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}
}
  • Ye Zhang
  • Published 26 September 2021
  • Mathematics
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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