English

On local smoothing problems and Stein's maximal spherical means

Analysis of PDEs 2019-06-25 v3

Abstract

It is proved that the local smoothing conjecture for wave equations implies certain improvements on Stein's analytic family of maximal spherical means. Some related problems are also discussed.

Keywords

Cite

@article{arxiv.1606.00080,
  title  = {On local smoothing problems and Stein's maximal spherical means},
  author = {Changxing Miao and Jianwei Yang and Jiqiang Zheng},
  journal= {arXiv preprint arXiv:1606.00080},
  year   = {2019}
}

Comments

16pages, 1figure

R2 v1 2026-06-22T14:14:26.552Z