Bochner-Riesz commutators on M\'etivier groups: boundedness and compactness
Classical Analysis and ODEs
2025-04-07 v1 Analysis of PDEs
Abstract
In this paper, we prove the boundedness and compactness properties of Bochner-Riesz commutator associated to the sub-Laplacians on M\'etivier groups. We show that the smoothness parameter can be expressed in terms of the topological dimension rather than the homogeneous dimension of the M\'etivier groups.
Cite
@article{arxiv.2504.02484,
title = {Bochner-Riesz commutators on M\'etivier groups: boundedness and compactness},
author = {Md Nurul Molla and Joydwip Singh},
journal= {arXiv preprint arXiv:2504.02484},
year = {2025}
}