Decay Rate of n-Linear Oscillatory Integral Operators in ℝ²

2018/11/13 by Aleksandra Niepla, Kevin O'Neill, Niepla, Aleksandra +4
Mathematics · #42B20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.CA #msc:42B20

paper · pdf · doi:10.48550/arxiv.1811.05520

7 pages

arxiv created 2018/11/13 · openalex publication_date 2018/11/13 · arxiv updated 2018/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove L^p decay estimates for multilinear oscillatory integrals in ℝ², 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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