COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS

doi:10.1016/S0252-9602(11)60248-8

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 477-482.doi: 10.1016/S0252-9602(11)60248-8

COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS

夏霞|陆善镇

School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, China； School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

收稿日期:2008-06-10 修回日期:2009-10-28 出版日期:2011-03-20 发布日期:2011-03-20
基金资助:
The research is supported by National Natural Science Foundation of China (10871024, 10931001, and 10971141), the Beijing Natural
Science Foundation (1092004), Introduces Talent Fund Projects of Tianjin Normal University (5RL067), and the Key Laboratory of Mathematics and Complex System (Beijing Normal University), Ministry of Education, China

COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS

XIA Xia, LU Shan-Zhan

Received:2008-06-10 Revised:2009-10-28 Online:2011-03-20 Published:2011-03-20
Supported by:
The research is supported by National Natural Science Foundation of China (10871024, 10931001, and 10971141), the Beijing Natural
Science Foundation (1092004), Introduces Talent Fund Projects of Tianjin Normal University (5RL067), and the Key Laboratory of Mathematics and Complex System (Beijing Normal University), Ministry of Education, China

摘要/Abstract

摘要：

In this article, we prove the boundedness of commutators generated by Bochner-Riesz operators below the critical index and BMO functions on the class of radial functions in L^p (Rⁿ) with |1/p-1/2|<(1+2α)/(2n).

关键词: Commutator, Bochner-Riesz operator, BMO

Abstract:

Key words: Commutator, Bochner-Riesz operator, BMO

中图分类号:

42B15

夏霞, 陆善镇. COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS[J]. 数学物理学报(英文版), 2011, 31(2): 477-482.

XIA Xia, LU Shan-Zhan. COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS[J]. Acta mathematica scientia,Series B, 2011, 31(2): 477-482.

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COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS

COMMUTATORS OF BOCHNER-RIESZ OPERATORS FOR A CLASS OF RADIAL FUNCTIONS

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