Lower bounds for operators on graded Lie groups

Abstract

In this note we present a symbolic pseudo-differential calculus on graded nilpotent Lie groups and, as an application, a version of the sharp Garding inequality. As a corollary, we obtain lower bounds for positive Rockland operators with variable coefficients as well as their Schwartz-hypoellipticity.

References in corpus (3)

• Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere
• Phase-space analysis and pseudodifferential calculus on the Heisenberg group
• Sharp Garding inequality on compact Lie groups

Cited by in corpus (5)

• A pseudo-differential calculus on the Heisenberg group
• Calculus of Operators: Covariant Transform and Relative Convolutions
• Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations
• Subelliptic sharp Gårding inequality on compact Lie groups
• Nonharmonic analysis of boundary value problems