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

共 50 条

[11] Boundedness for Multilinear Commutators of Bochner-Riesz Operator
Ru Long XIELi Sheng SHUQian Xiang ZHANGDepartment of MathematicsChaohu UniversityAnhui PRChinaDepartment of MathematicsAnhui Normal UniversityAnhui PRChina
数学研究与评论, 2011, 31 (06) : 1074 - 1080
[12] Improved bound for the bilinear Bochner-Riesz operator
Jeong, Eunhee
Lee, Sanghyuk
Vargas, Ana
MATHEMATISCHE ANNALEN, 2018, 372 (1-2) : 581 - 609
[13] Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators
Lee, S
DUKE MATHEMATICAL JOURNAL, 2004, 122 (01) : 205 - 232
[14] ON COMPOSITION OF MAXIMAL OPERATOR AND BOCHNER-RIESZ OPERATOR AT THE CRITICAL INDEX
Shrivastava, Saurabh
Shuin, Kalachand
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (04) : 1545 - 1554
[15] Sharp estimates for the Bochner-Riesz operator of negative order in R-2
Bak, JG
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (07) : 1977 - 1986
[16] New estimates of the maximal Bochner-Riesz operator in the plane
Li, Xiaochun
Wu, Shukun
MATHEMATISCHE ANNALEN, 2020, 378 (3-4) : 873 - 890
[17] CORRIGENDA TO "ON COMPOSITION OF MAXIMAL OPERATOR AND BOCHNER-RIESZ OPERATOR AT THE CRITICAL INDEX"
Shrivastava, Saurabh
Shuin, Kalachand
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (07) : 3139 - 3141
[18] Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator
Liu, ZG
Lu, GZ
Lu, SZ
PUBLICACIONS MATEMATIQUES, 2003, 47 (01) : 45 - 69
[19] THE BOUNDEDNESS OF THE MAXIMAL BOCHNER-RIESZ OPERATOR ON L4(R2)
CARBERY, A
DUKE MATHEMATICAL JOURNAL, 1983, 50 (02) : 409 - 416
[20] CONTINUITY FOR MULTILINEAR COMMUTATOR OF BOCHNER-RIESZ OPERATOR ON BESOV SPACES
Tong Qingshan
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2012, 27 (01): : 131 - 144

← 1 2 3 4 5 →