Equivalence of Quaternionic Heisenberg Homogeneous Quasi-norms
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908525285867520 |
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| author | Ariyo, A. O. Egwe, M. E. |
| author_facet | Ariyo, A. O. Egwe, M. E. |
| contents | Let $\mathbb{H}_q$ denote the quaternionic Heisenberg group of dimension $(4n+3)$ with $\mathbb{R}^4\times\mathbb{R}^3$ stratification. We identify certain homogeneous norms on the group and show that any two quasi-norms on $\mathbb{H}_q$ are equivalent for $n<\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06961 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivalence of Quaternionic Heisenberg Homogeneous Quasi-norms Ariyo, A. O. Egwe, M. E. Functional Analysis 22E25 Let $\mathbb{H}_q$ denote the quaternionic Heisenberg group of dimension $(4n+3)$ with $\mathbb{R}^4\times\mathbb{R}^3$ stratification. We identify certain homogeneous norms on the group and show that any two quasi-norms on $\mathbb{H}_q$ are equivalent for $n<\infty$. |
| title | Equivalence of Quaternionic Heisenberg Homogeneous Quasi-norms |
| topic | Functional Analysis 22E25 |
| url | https://arxiv.org/abs/2509.06961 |