Bochner-Riesz commutators on Métivier groups: boundedness and compactness
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915227601207296 |
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| author | Molla, Md Nurul Singh, Joydwip |
| author_facet | Molla, Md Nurul Singh, Joydwip |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02484 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bochner-Riesz commutators on Métivier groups: boundedness and compactness Molla, Md Nurul Singh, Joydwip Classical Analysis and ODEs Analysis of PDEs 43A85, 22E25, 42B15 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. |
| title | Bochner-Riesz commutators on Métivier groups: boundedness and compactness |
| topic | Classical Analysis and ODEs Analysis of PDEs 43A85, 22E25, 42B15 |
| url | https://arxiv.org/abs/2504.02484 |