Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591393 | Journal of Functional Analysis | 2010 | 26 Pages |
Abstract
We consider, in the setting of stratified groups G, two analogues of the Ornstein–Uhlenbeck semi-group, namely Markovian diffusion semi-groups acting on Lq(pdγ), whose invariant density p is a heat kernel at time 1 on G. Both generators have the same “carré du champ”. The first semi-group is symmetric on L2(pdγ), with generator , where is a basis of the first layer of the Lie algebra of G. The second one is compact on Lq(pdγ), 1
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory