Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups.

@article{Dungey2005,
abstract = {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 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 to give new proofs of Gaussian heat kernel estimates established by Varopoulos on amenable Lie groups and by Alexopoulos on Lie groups of polynomial growth.},
author = {Dungey, Nick},
journal = {Publicacions Matemàtiques},
keywords = {Operador laplaciano; Semigrupos; Grupos de Lie; Ecuación del calor; Kernel; Lie group; heat kernel; Gaussian estimates; sublaplacian},
language = {eng},
number = {2},
pages = {375-391},
title = {Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups.},
url = {http://eudml.org/doc/41574},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Dungey, Nick
TI - Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 2
SP - 375
EP - 391
AB - 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 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 to give new proofs of Gaussian heat kernel estimates established by Varopoulos on amenable Lie groups and by Alexopoulos on Lie groups of polynomial growth.
LA - eng
KW - Operador laplaciano; Semigrupos; Grupos de Lie; Ecuación del calor; Kernel; Lie group; heat kernel; Gaussian estimates; sublaplacian
UR - http://eudml.org/doc/41574
ER -