On Oscillatory Integral Operators Satisfying the cinematic curvature condition

Xiangyu Wang

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arXiv · 2512.22516

On Oscillatory Integral Operators Satisfying the cinematic curvature condition

Xiangyu Wang

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Abstract

We establish an almost sharp L^r to L^p estimate for oscillatory integral operators satisfying the cinematic curvature condition. The proof combines Wolff's two-ends reduction with refined decoupling inequalities.

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Xiangyu Wang. 2025-12-27. On Oscillatory Integral Operators Satisfying the cinematic curvature condition. https://arxiv.org/abs/2512.22516

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