Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups
Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups
Let G be a Lie group.The main new result of this paper is an estimate in L 2 (G) for the Davies perturbation of the semigroup generated by a centered sublaplacian H on G.When G is amenable, such estimates hold only for sublaplacians which are centered.Our semigroup estimate enables us …