On Oscillatory Integral Operators Satisfying the cinematic curvature condition (2512.22516v1)

Published 27 Dec 2025 in math.CA

Abstract: We study the oscillatory integral operators satisfying the cinematic curvature condition. First, we formulate a conjecture for this class of operators, motivated by certain necessary conditions arising from counterexamples. We then establish an estimate for these operators by combining Wolff's two-ends reduction with refined decoupling inequalities.

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Authors (1)

Xiangyu Wang

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