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

Abstract

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).

7 pages