Heat kernel and semigroup estimates for sublaplacians with drift on Lie groups
Dungey, Nick (The University of New South Wales (Austràlia). School of Mathematics)

Data:	2005
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, V. 49 n. 2 (2005) p. 375-391, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/128383
DOI: 10.5565/PUBLMAT_49205_07

17 p, 170.0 KB

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