Norms of spherical averaging operators for some geometric group actions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914796126863360 |
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| author | Nica, Bogdan |
| author_facet | Nica, Bogdan |
| contents | We obtain asymptotic estimates for the $\ell^p$-operator norm of spherical averaging operators associated to certain geometric group actions. The motivating example is the case of Gromov hyperbolic groups, for which we obtain asymptotically sharp estimates. We deduce asymptotic lower bounds for the combinatorial expansion of spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08682 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norms of spherical averaging operators for some geometric group actions Nica, Bogdan Group Theory Functional Analysis 43A15, 20F67 We obtain asymptotic estimates for the $\ell^p$-operator norm of spherical averaging operators associated to certain geometric group actions. The motivating example is the case of Gromov hyperbolic groups, for which we obtain asymptotically sharp estimates. We deduce asymptotic lower bounds for the combinatorial expansion of spheres. |
| title | Norms of spherical averaging operators for some geometric group actions |
| topic | Group Theory Functional Analysis 43A15, 20F67 |
| url | https://arxiv.org/abs/2405.08682 |