COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

被引：6

作者：

Bu, Rui ^{[1
]}

Chen, Jiecheng ^{[2
]}

Hu, Guoen ^{[3
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[3] Zhengzhou Informat Sci & Technol Inst, Dept Appl Math, Zhengzhou 450002, Henan, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2017年 / 37卷 / 05期

关键词：

Bochner-Riesz operator; commutator; compact operator; Fourier transform estimate; MORREY SPACES; MULTIPLIERS; SUMMATION; INTEGRALS; FOURIER;

D O I：

10.1016/S0252-9602(17)30079-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let alpha is an element of (0, n-1/2) and T-alpha be the Bochner-Riesz operator of order alpha. In this paper, for n = 2 and n >= 3, the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO(R-n) function and T-alpha.

引用

页码：1373 / 1384

页数：12

共 24 条

[1] Morrey spaces in harmonic analysis [J].

Adams, David R. ;

Xiao, Jie .

ARKIV FOR MATEMATIK, 2012, 50 (02) :201-230

[2] REGULARITY OF MORREY COMMUTATORS [J].

Adams, David R. ;

Xiao, Jie .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (09) :4801-4818

[3]

[Anonymous], 2008, MODERN FOURIER ANAL

[4]

Bochner S, 1936, T AM MATH SOC, V40, P175

[5] Functional calculus on BMO and related spaces [J].

Bourdaud, G ;

Lanza de Cristoforis, M ;

Sickel, W .

JOURNAL OF FUNCTIONAL ANALYSIS, 2002, 189 (02) :515-538

[6] OSCILLATORY INTEGRALS AND A MULTIPLIER PROBLEM FOR DISK [J].

CARLESON, L ;

SJOLIN, P .

STUDIA MATHEMATICA, 1972, 44 (03) :287-&

[7] Compact Commutators of Rough Singular Integral Operators [J].

Chen, Jiecheng ;

Hu, Guoen .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2015, 58 (01) :19-29

[8] Compactness of Commutators for Singular Integrals on Morrey Spaces [J].

Chen, Yanping ;

Ding, Yong ;

Wang, Xinxia .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2012, 64 (02) :257-281

[9] EXTENSIONS OF HARDY SPACES AND THEIR USE IN ANALYSIS [J].

COIFMAN, RR ;

WEISS, G .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (04) :569-645

[10] SPHERICAL SUMMATION MULTIPLIERS [J].

FEFFERMAN, C .

ISRAEL JOURNAL OF MATHEMATICS, 1973, 15 (01) :44-52

← 1 2 3 →