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arXiv · 2108.04762

$L^2$ estimates of trilinear oscillatory integrals of convolution type on $\mathbb{R}^2$

Yangkendi Deng·Zuoshunhua Shi·Dunyan Yan
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Abstract

This paper is devoted to $L^2$ estimates for trilinear oscillatory integrals of convolution type on $\mathbb{R}^2$. The phases in the oscillatory factors include smooth functions and polynomials. We shall establish sharp $L^2$ decay estimates of trilinear oscillatory integrals with smooth phases, and then give $L^2$ uniform estimates for these integrals with polynomial phases.

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Yangkendi Deng, Zuoshunhua Shi, Dunyan Yan. 2021-08-10. $L^2$ estimates of trilinear oscillatory integrals of convolution type on $\mathbb{R}^2$. https://arxiv.org/abs/2108.04762

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