Dimension-free estimates on $l^2 (\mathbb{Z} ^d)$ for discrete dyadic maximal function over $l^1$ balls: small scales
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913234790907904 |
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| author | Niksiński, Jakub |
| author_facet | Niksiński, Jakub |
| contents | We give a dimension-free bound on $l^p(\mathbb{Z} ^d)$ for discrete Hardy-Littlewood operator over $l^1$ balls in $\mathbb{Z} ^d$ with small dyadic radii, where $p \in [2, \infty]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15442 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dimension-free estimates on $l^2 (\mathbb{Z} ^d)$ for discrete dyadic maximal function over $l^1$ balls: small scales Niksiński, Jakub Classical Analysis and ODEs Primary 42B15, Secondary 42B25 We give a dimension-free bound on $l^p(\mathbb{Z} ^d)$ for discrete Hardy-Littlewood operator over $l^1$ balls in $\mathbb{Z} ^d$ with small dyadic radii, where $p \in [2, \infty]$. |
| title | Dimension-free estimates on $l^2 (\mathbb{Z} ^d)$ for discrete dyadic maximal function over $l^1$ balls: small scales |
| topic | Classical Analysis and ODEs Primary 42B15, Secondary 42B25 |
| url | https://arxiv.org/abs/2311.15442 |