A note on small cap square function and decoupling estimates for the parabola
Classical Analysis and ODEs
2026-03-10 v1
Abstract
In this paper, we prove small cap square function and decoupling estimates for the parabola, where the small caps are essentially axis-parallel rectangles of dimensions for . Our estimates complement the known results for and are sharp up to polylogarithmic factors.
Cite
@article{arxiv.2603.07934,
title = {A note on small cap square function and decoupling estimates for the parabola},
author = {Jongchon Kim and Liang Wang and Chun Keung Yeung},
journal= {arXiv preprint arXiv:2603.07934},
year = {2026}
}
Comments
15 pages