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

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

Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 477-482.doi: 10.1016/S0252-9602(11)60248-8

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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

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).

Key words: Commutator, Bochner-Riesz operator, BMO

CLC Number:

42B15

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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

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