Bochner-Riesz commutators on Métivier groups: boundedness and compactness
arXiv:2504.02484
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.
35 pages