Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases
Classical Analysis and ODEs
2025-12-24 v1
Abstract
In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the decay rate of 3/8 given in (Archiv der Mathematik, 122: 437-447, 2024) is sharp.
Cite
@article{arxiv.2512.20035,
title = {Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases},
author = {Jayden Lang and Wan Tang},
journal= {arXiv preprint arXiv:2512.20035},
year = {2025}
}