Bochner-Riesz commutators on Métivier groups: boundedness and compactness

Abstract

In this paper, we prove the boundedness and compactness properties of Bochner-Riesz commutator associated to the sub-Laplacians on Métivier groups. We show that the smoothness parameter can be expressed in terms of the topological dimension rather than the homogeneous dimension of the Métivier groups.

arXiv comment35 pages