English

Small cap decoupling for the paraboloid in $\mathbb{R}^n$

Classical Analysis and ODEs 2024-03-28 v2

Abstract

We extend the small cap decoupling program established by Demeter, Guth, and Want to paraboloids in Rn\mathbb{R}^n for some range of pp.

Cite

@article{arxiv.2307.06445,
  title  = {Small cap decoupling for the paraboloid in $\mathbb{R}^n$},
  author = {Larry Guth and Dominique Maldague and Changkeun Oh},
  journal= {arXiv preprint arXiv:2307.06445},
  year   = {2024}
}

Comments

17 pages, small corrections following referee report

R2 v1 2026-06-28T11:28:56.244Z