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arXiv · 2201.01021

A type of oscillatory integral operator and its applications

Chuanwei Gao·Jingyue Li·Liang Wang
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Abstract

In this paper, we consider $L^p$- estimate for a class of oscillatory integral operators satisfying the Carleson-Sj\"olin conditions with further convex and straight assumptions. As applications, the multiplier problem related to a general class of hypersurfaces with nonvanishing Gaussian curvature, local smoothing estimates for the fractional Schr\"odinger equation and the sharp resolvent estimates outside of the uniform boundedness range are discussed.

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Chuanwei Gao, Jingyue Li, Liang Wang. 2022-01-04. A type of oscillatory integral operator and its applications. https://arxiv.org/abs/2201.01021

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