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arXiv · 2602.18359

Helical maximal function and weighted estimates

Abhishek Ghosh·Kalachand Shuin
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Abstract

In this article, we characterize the range of $\alpha$ for which the helical maximal function is bounded from $L^p(|x|^\alpha)$ to itself for $3<p<\infty$. Our result is optimal for $4\leq p<\infty,$ except possibly at end-points.

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Abhishek Ghosh, Kalachand Shuin. 2026-02-20. Helical maximal function and weighted estimates. https://arxiv.org/abs/2602.18359

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