Hypoelliptic heat kernel inequalities on the Heisenberg group

@article{Driver2005HypoellipticHK,
  title={Hypoelliptic heat kernel inequalities on the Heisenberg group},
  author={Bruce K. Driver and T. Melcher},
  journal={Journal of Functional Analysis},
  year={2005},
  volume={221},
  pages={340-365}
}
  • Bruce K. Driver, T. Melcher
  • Published 2005
  • Mathematics
  • Journal of Functional Analysis
  • We study the existence of “L p -type”gradient estimates for the heat kernel of the natural hypoelliptic “Laplacian”on the real three-dimensional Heisenberg Lie group. Using Malliavin calculus methods, we verify that these estimates hold in the case 
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