Restriction type estimates on general two-step stratified Lie groups
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909484380585984 |
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| author | Niedorf, Lars |
| author_facet | Niedorf, Lars |
| contents | We prove restriction type estimates for sub-Laplacians on general two-step stratified Lie groups. The core of our approach is to use spectral cluster estimates to effectively control the eigenvalue distribution of a family of anisotropic twisted Laplacians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12960 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Restriction type estimates on general two-step stratified Lie groups Niedorf, Lars Analysis of PDEs Functional Analysis 42B15, 22E25, 22E30, 43A85 We prove restriction type estimates for sub-Laplacians on general two-step stratified Lie groups. The core of our approach is to use spectral cluster estimates to effectively control the eigenvalue distribution of a family of anisotropic twisted Laplacians. |
| title | Restriction type estimates on general two-step stratified Lie groups |
| topic | Analysis of PDEs Functional Analysis 42B15, 22E25, 22E30, 43A85 |
| url | https://arxiv.org/abs/2304.12960 |