A note on small cap square function and decoupling estimates for the parabola
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 δ× δβ for 0≤ β≤ 1. Our estimates complement the known results for 1 ≤ β ≤ 2 and are sharp up to polylogarithmic factors.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.