The G-Ellipticity for the Sub-Laplacian on Two Step Stratified Lie Groups

✍ Scribed by Yaping Jiang

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 464 KB
• Volume: 181
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.3211810109

✦ Synopsis

This paper reveals that the sub-Laplacian LO on two step stratified Lie groups has a Himilar behavior like elliptic operators on the Euclidean space, that is, the sub-Laplacian satisfies a ~I o u p elliptic estimate, called the Gelliptic estimate (or the L P -regularity), and the general left hivariant operator LA has such a behavior if and only if X is admissible.

1991 Mathematier Subjjeci Classification. Keyauords and phwues. Stratified Lie group, left invariant, G -elliptic, fundamental solution.