English

Small cap decoupling for the moment curve in $\mathbb{R}^3$

Classical Analysis and ODEs 2024-11-27 v2

Abstract

We prove sharp small cap decoupling estimates for the moment curve in R3\mathbb{R}^3. Our formulation of the small caps is motivated by a conjecture about LpL^p estimates for exponential sums from the small cap decoupling paper of Demeter, Guth, and Wang.

Cite

@article{arxiv.2206.01574,
  title  = {Small cap decoupling for the moment curve in $\mathbb{R}^3$},
  author = {Larry Guth and Dominique Maldague},
  journal= {arXiv preprint arXiv:2206.01574},
  year   = {2024}
}
R2 v1 2026-06-24T11:38:18.173Z