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

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, an...

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Bibliographic Details
Main Authors Deng, Yangkendi, Shi, Zuoshunhua, Yan, Dunyan
Format Journal Article
LanguageEnglish
Published 10.08.2021
Subjects
Mathematics - Classical Analysis and ODEs
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Summary: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.
DOI:10.48550/arxiv.2108.04762