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math.CA2026
On Cone Restriction Estimates in Higher Dimensions
Xiangyu Wang
We revisit the Ou-Wang's approach to the cone restriction problem via polynomial partitioning. By recasting their inductive scheme as a recursive algorithm and incorporating the ne…
math.CA2026
On Oscillatory Integral Operators Satisfying the cinematic curvature condition
Xiangyu Wang
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…