Dimension-free maximal inequalities for noncommutative spherical means over cyclic groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910046874501120 |
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| author | Gao, Li Xu, Bang |
| author_facet | Gao, Li Xu, Bang |
| contents | In this paper, we establish dimension-free $L_p$-estimates for operator-valued maximal spherical means over cyclic groups $\Z_{m+1}^d$ for all $p>1$ and $m\geq1$. The key ingredient is a noncommutative extension of the spectral technique developed by Nevo and Stein. As an application, we obtain a noncommutative spherical maximal inequality for automorphism actions on von Neumann algebras, along with several concrete examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dimension-free maximal inequalities for noncommutative spherical means over cyclic groups Gao, Li Xu, Bang Operator Algebras 46L51, 42B20 In this paper, we establish dimension-free $L_p$-estimates for operator-valued maximal spherical means over cyclic groups $\Z_{m+1}^d$ for all $p>1$ and $m\geq1$. The key ingredient is a noncommutative extension of the spectral technique developed by Nevo and Stein. As an application, we obtain a noncommutative spherical maximal inequality for automorphism actions on von Neumann algebras, along with several concrete examples. |
| title | Dimension-free maximal inequalities for noncommutative spherical means over cyclic groups |
| topic | Operator Algebras 46L51, 42B20 |
| url | https://arxiv.org/abs/2511.13449 |