THE G-ELLIPTICITY FOR THE SUB-LAPLACIAN ON 2-STEP STRATIFIED LIE-GROUPS

This paper reveals that the sub-laplacian L(0) on two step stratified Lie groups has a similar behavior like elliptic operators on the Eucli dean space, that is, the sub-Laplacian satisfies a group-elliptic esti mate, called the G-elliptic estimate (or the L(p)-regularity), and the general left invariant operator L(lambda) has such a behavior if and only if lambda is admissible.