On Cone Restriction Estimates in Higher Dimensions

Fuente: arXiv
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Autor principal: Wang, Xiangyu
Formato: Preprint
Publicado: 2024
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author Wang, Xiangyu
author_facet Wang, Xiangyu
contents 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 nested polynomial Wolff axioms, we obtain improved bounds for cone restriction estimates in higher dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02961
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On Cone Restriction Estimates in Higher Dimensions
Wang, Xiangyu
Classical Analysis and ODEs
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 nested polynomial Wolff axioms, we obtain improved bounds for cone restriction estimates in higher dimensions.
title On Cone Restriction Estimates in Higher Dimensions
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2411.02961