ON THE BOCHNER-RIESZ OPERATOR IN R3

被引：2

作者：

Wu, Shukun ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2023年 / 149卷 / 02期

关键词：

OSCILLATORY INTEGRAL-OPERATORS; BOUNDS; IMPLIES; THEOREM;

D O I：

10.1007/s11854-022-0263-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve the Bochner-Riesz conjecture in R-3 to max{p, p/(p - 1)} >= 3.25. Our main methods are the Bourgain-Guth broad-narrow argument and Guth's polynomial partitioning iteration. The main novelty of this paper is a backward algorithm that emerges from the iteration we used. This algorithm helps us realize a geometric observation from the tangential contributions.

引用

页码：677 / 718

页数：42

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