English

New bounds for Stein's square function in $\mathbb{R}^3$

Classical Analysis and ODEs 2021-05-03 v1

Abstract

We prove new Lp(R3)L^p(\mathbb{R}^3) bounds on Stein's square function for p3.25p\geq3.25. As an application, it improves the maximal Bochner-Riesz conjecture to the same range of pp.

Keywords

Cite

@article{arxiv.2104.14731,
  title  = {New bounds for Stein's square function in $\mathbb{R}^3$},
  author = {Shengwen Gan and Yifan Jing and Shukun Wu},
  journal= {arXiv preprint arXiv:2104.14731},
  year   = {2021}
}

Comments

54 pages

R2 v1 2026-06-24T01:39:23.456Z