Helical maximal function and weighted estimates
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915809839808512 |
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| author | Ghosh, Abhishek Shuin, Kalachand |
| author_facet | Ghosh, Abhishek Shuin, Kalachand |
| contents | In this article, we characterize the range of $α$ for which the helical maximal function is bounded from $L^p(|x|^α)$ to itself for $3<p<\infty$. Our result is optimal for $4\leq p<\infty,$ except possibly at end-points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18359 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Helical maximal function and weighted estimates Ghosh, Abhishek Shuin, Kalachand Classical Analysis and ODEs 42B25, 42B20 In this article, we characterize the range of $α$ for which the helical maximal function is bounded from $L^p(|x|^α)$ to itself for $3<p<\infty$. Our result is optimal for $4\leq p<\infty,$ except possibly at end-points. |
| title | Helical maximal function and weighted estimates |
| topic | Classical Analysis and ODEs 42B25, 42B20 |
| url | https://arxiv.org/abs/2602.18359 |