Lower bounds for operators on graded Lie groups |
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| Authors: | Véronique Fischer Michael Ruzhansky |
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| Affiliation: | 1. Universita degli studi di Padova, DMMMSA, Via Trieste 63, 35121 Padova, Italy;2. Department of Mathematics, Imperial College London, 180 Queen?s Gate, London SW7 2AZ, United Kingdom |
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| Abstract: | In this note we present a symbolic pseudo-differential calculus on any graded (nilpotent) Lie group and, as an application, a version of the sharp Gårding inequality. As a corollary, we obtain lower bounds for positive Rockland operators with variable coefficients as well as their Schwartz-hypoellipticity. |
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