English

Weighted decoupling estimates and the Bochner-Riesz means

Classical Analysis and ODEs 2025-10-13 v1

Abstract

We prove new weighted decoupling estimates. As an application, we give an improved sufficient condition for almost everywhere convergence of the Bochner-Riesz means of arbitrary LpL^p functions for 1<p<21<p<2 in dimensions 2 and 3.

Keywords

Cite

@article{arxiv.2406.03741,
  title  = {Weighted decoupling estimates and the Bochner-Riesz means},
  author = {Jongchon Kim},
  journal= {arXiv preprint arXiv:2406.03741},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T16:55:20.345Z