The G‐Ellipticity for the Sub‐Laplacian on Two Step Stratified Lie Groups
Yaping Jiang · Mathematische Nachrichten · 1996
Abstract This paper reveals that the sub‐Laplacian L0 on two step stratified Lie groups has a similar behavior like elliptic operators on the Euclidean space, that is, the sub ‐ Laplacian satisfies a group‐elliptic estimate, called the G‐ elliptic estimate (or the Lp regularity), and the general left Invariant operator Lλ has such a behavior if and only if λ is admissible.