On Oscillatory Integral Operators Satisfying the cinematic curvature condition
Classical Analysis and ODEs
2026-02-24 v3
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.
Keywords
Cite
@article{arxiv.2512.22516,
title = {On Oscillatory Integral Operators Satisfying the cinematic curvature condition},
author = {Xiangyu Wang},
journal= {arXiv preprint arXiv:2512.22516},
year = {2026}
}