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arXiv:1811.05520 [math.CA]AbstractReferencesReviewsResources

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

Aleksandra Niepla, Kevin O'Neill, Zhen Zeng

Published 2018-11-13Version 1

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).

Comments: 7 pages
Categories: math.CA
Subjects: 42B20
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