PreprintCC0arXiv
Lp-weighted cone restriction estimates
Abstract
We study Fourier extension estimates for the truncated cone in Rn+1 with weights satisfying an m-dimensional ball condition only at radii between $1$ and R1/2, where 0<m≤ 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.
Related
BibTeX
@misc{wang2026lpweighted,
title = {{$L^p$-weighted cone restriction estimates}},
author = {Xiangyu Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.16294},
eprint = {2610.16294},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.16294},
note = {CC0},
}
RIS
TY - UNPB
TI - L^p-weighted cone restriction estimates
AU - Xiangyu Wang
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.16294
UR - https://arxiv.org/abs/2610.16294
AB - 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≤ 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.
ER -