English

A Stein-Tomas type estimate and a decoupling inequality

Classical Analysis and ODEs 2023-09-25 v1

Abstract

A Stein-Tomas type inequality and a (weak) decoupling inequality are proved by using the polynomial partitioning method. Both estimates are related closely to Waring's problem.

Keywords

Cite

@article{arxiv.2309.12835,
  title  = {A Stein-Tomas type estimate and a decoupling inequality},
  author = {Xiaochun Li},
  journal= {arXiv preprint arXiv:2309.12835},
  year   = {2023}
}
R2 v1 2026-06-28T12:29:24.872Z