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arXiv · 2512.20035

Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases

Jayden Lang·Wan Tang
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Abstract

In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the $L^{2}$ decay rate of 3/8 given in (Archiv der Mathematik, 122: 437-447, 2024) is sharp.

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Jayden Lang, Wan Tang. 2025-12-23. Sharp $L^2$ decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases. https://arxiv.org/abs/2512.20035

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