BOUNDS ON THE MAXIMAL BOCHNER-RIESZ MEANS FOR ELLIPTIC OPERATORS

被引：10

作者：

Chen, Peng ^{[1
]}

Lee, Sanghyuk ^{[2
]}

Sikora, Adam ^{[3
]}

Yan, Lixin ^{[1
,3
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Seoul Natl Univ, Sch Math Sci, Seoul 151742, South Korea

[3] Macquarie Univ, Dept Math, Sydney, NSW 2109, Australia

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 06期

基金：

澳大利亚研究理事会;

关键词：

Maximal Bochner-Riesz means; non-negative self-adjoint operators; finite speed propagation property; elliptic-type estimates; restriction-type conditions; WEIGHTED NORM INEQUALITIES; KERNEL UPPER-BOUNDS; SCHRODINGER-EQUATIONS; MULTIPLIER PROBLEM; GAUSSIAN BOUNDS; RESTRICTION; EIGENFUNCTION; FOURIER; CONVERGENCE; SUMMABILITY;

D O I：

10.1090/tran/8024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate L-p boundedness of the maximal Bochner-Riesz means for self-adjoint operators of elliptic-type. Assuming the finite speed of propagation for the associated wave operator, from the restriction-type estimates we establish the sharp L-p boundedness of the maximal Bochner-Riesz means for the elliptic operators. As applications, we obtain the sharp L-p maximal bounds for the Schrodinger operators on asymptotically conic manifolds, elliptic operators on compact manifolds, or the Hermite operator and its perturbations on R-n.

引用

页码：3793 / 3828

页数：36

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