Let G be a Lie group. The main new result of this paper is an estimate in L2(G) for the Davies perturbation of the semi-group 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 to give new proofs of Gaussian heat kernel estimates established by Varopoulos on amenable Lie groups and by Alexopoulos on Lie groups of poly-nomial growth. 1
International audienceThe Lie group SU(2) endowed with its canonical subriemannian structure appears...
Abstract. Davies ’ method of perturbed semigroups is a classical technique to obtain off-diagonal up...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
Let G be a Lie group. The main new result of this paper is an estimate in L2 (G) for the Davies pert...
AbstractWe prove global sharp estimates for the heat kernel related to certain sub-Laplacians on a r...
AbstractWe prove the following gradient inequality for the subelliptic heat kernel on nilpotent Lie ...
The aim of this paper is to obtain some estimate for largetime for the Heatkernel corresponding to a...
AbstractThe aim of this paper is to obtain some estimate for large time for the Heat kernel correspo...
We study inequalities related to the heat kernel for the hypoelliptic sublaplacian on an H-type Lie ...
AbstractThis paper studies Brownian motion and heat kernel measure on a class of infinite dimensiona...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
AbstractWe establish precise upper and lower bounds for the subelliptic heat kernel on nilpotent Lie...
We prove large time Gaussian bounds for the semigroup kernels associated with complex, second-order,...
Abstract. Let G be a connected Lie group of polynomial growth. We consider m-th order subelliptic di...
In this paper, we study a subelliptic heat kernel on the Lie group SL(2,R) and on its universal cove...
International audienceThe Lie group SU(2) endowed with its canonical subriemannian structure appears...
Abstract. Davies ’ method of perturbed semigroups is a classical technique to obtain off-diagonal up...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
Let G be a Lie group. The main new result of this paper is an estimate in L2 (G) for the Davies pert...
AbstractWe prove global sharp estimates for the heat kernel related to certain sub-Laplacians on a r...
AbstractWe prove the following gradient inequality for the subelliptic heat kernel on nilpotent Lie ...
The aim of this paper is to obtain some estimate for largetime for the Heatkernel corresponding to a...
AbstractThe aim of this paper is to obtain some estimate for large time for the Heat kernel correspo...
We study inequalities related to the heat kernel for the hypoelliptic sublaplacian on an H-type Lie ...
AbstractThis paper studies Brownian motion and heat kernel measure on a class of infinite dimensiona...
We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic o...
AbstractWe establish precise upper and lower bounds for the subelliptic heat kernel on nilpotent Lie...
We prove large time Gaussian bounds for the semigroup kernels associated with complex, second-order,...
Abstract. Let G be a connected Lie group of polynomial growth. We consider m-th order subelliptic di...
In this paper, we study a subelliptic heat kernel on the Lie group SL(2,R) and on its universal cove...
International audienceThe Lie group SU(2) endowed with its canonical subriemannian structure appears...
Abstract. Davies ’ method of perturbed semigroups is a classical technique to obtain off-diagonal up...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...