L² estimates of trilinear oscillatory integrals of convolution type on ℝ²

2021/08/10 by Yangkendi Deng, Deng, Yangkendi, Zuoshunhua Shi +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2108.04762

openalex publication_date 2021/08/10 · openalex created_date 2022/10/09 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to L² estimates for trilinear oscillatory integrals of convolution type on ℝ². The phases in the oscillatory factors include smooth functions and polynomials. We shall establish sharp L² decay estimates of trilinear oscillatory integrals with smooth phases, and then give L² uniform estimates for these integrals with polynomial phases.

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