Sharp $L^p$ bounds for the helical maximal function
Classical Analysis and ODEs
2025-07-29 v1
Abstract
We establish the boundedness of the helical maximal function for the sharp range . Our results improve the previous known bounds for . The key ingredient is a new microlocal smoothing estimate for averages along dilates of the helix, which is established via a square function analysis.
Cite
@article{arxiv.2102.08272,
title = {Sharp $L^p$ bounds for the helical maximal function},
author = {David Beltran and Shaoming Guo and Jonathan Hickman and Andreas Seeger},
journal= {arXiv preprint arXiv:2102.08272},
year = {2025}
}
Comments
63 pages