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arXiv · 2504.02484

Bochner-Riesz commutators on M\'etivier groups: boundedness and compactness

Md Nurul Molla·Joydwip Singh
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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.

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Md Nurul Molla, Joydwip Singh. 2025-04-03. Bochner-Riesz commutators on M\'etivier groups: boundedness and compactness. https://arxiv.org/abs/2504.02484

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