Decay Rate of n-Linear Oscillatory Integral Operators in $\mathbb{R}^2$

Aleksandra Niepla; Kevin O'Neill; Zhen Zeng

arxiv: 1811.05520 · v1 · pith:6O6CHGWYnew · submitted 2018-11-13 · 🧮 math.CA

Decay Rate of n-Linear Oscillatory Integral Operators in mathbb{R}²

Aleksandra Niepla , Kevin O'Neill , Zhen Zeng This is my paper

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keywords decaymathbboscillatoryargumentestablishingestimatesgeneralizationgressman

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In this paper, we prove $L^p$ decay estimates for multilinear oscillatory integrals in $\mathbb{R}^2$, establishing sharpness through a scaling argument. The result in this paper is a generalization of the previous work by Gressman and Xiao (2016).

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Decay Rate of n-Linear Oscillatory Integral Operators in mathbb{R}²

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