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arXiv · 2610.16294

$L^p$-weighted cone restriction estimates

Xiangyu Wang
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Abstract

We study Fourier extension estimates for the truncated cone in $\R^{n+1}$ with weights satisfying an $m$-dimensional ball condition only at radii between $1$ and $R^{1/2}$, where $0<m\le n-1$. Within the discrete induction framework of Du--Li--Wang--Zhang, we obtain a family of bounds by combining multilinear refined Strichartz inequalities, narrow decoupling, and Lorentz rescaling. We also give lightplank, lattice, and hybrid lattice--Knapp examples.

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Xiangyu Wang. 2026-10-12. $L^p$-weighted cone restriction estimates. https://arxiv.org/abs/2610.16294

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