A conjecture for arithmetic spherical maximal functions
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917520525492224 |
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| author | Hughes, Kevin |
| author_facet | Hughes, Kevin |
| contents | For 24 years, it has been an open problem to obtain improved bounds, for the maximal function over a sparse sequence of discrete spherical averages, going beyond the range for the full discrete spherical maximal function. I formulate a conjecture to characterize the boundedness of such maximal functions and state a theorem in support of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22712 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A conjecture for arithmetic spherical maximal functions Hughes, Kevin Classical Analysis and ODEs 11, 42 For 24 years, it has been an open problem to obtain improved bounds, for the maximal function over a sparse sequence of discrete spherical averages, going beyond the range for the full discrete spherical maximal function. I formulate a conjecture to characterize the boundedness of such maximal functions and state a theorem in support of it. |
| title | A conjecture for arithmetic spherical maximal functions |
| topic | Classical Analysis and ODEs 11, 42 |
| url | https://arxiv.org/abs/2605.22712 |