具有变量核的积分算子的交换子的CBMO估计

Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 884-893.

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CBMO Estimates for Commutators of |Integral Operators with Variable Kernel

CHEN Dong-Xiang^1,2, LIU Shan-Zhen²

1.Department of Mathematics, Jiangxi Normal University, Nanchang 330022|
2.School of Mathematics Science, Beijing Normal University, Beijing 100875

Received:2008-06-08 Revised:2009-11-24 Online:2010-07-25 Published:2010-07-25
Supported by:
国家自然科学基金(10961015, 10871173)和江西省自然科学基金(2008GZS0051) 资助

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Abstract

Abstract:

In this paper, the authors establish the CBMO estimates for the commutators of integral operators with variable kernel on Herz spaces.

Key words: Commmutator, Integral operators, CBMO space, Variable kernel

CLC Number:

42B25

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CHEN Dong-Xiang, LIU Shan-Zhen. CBMO Estimates for Commutators of |Integral Operators with Variable Kernel[J].Acta mathematica scientia,Series A, 2010, 30(4): 884-893.

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[2] Lu S Z, Yang D C. The central BMO spaces and Littlewood-Paly operators. Approx Theory Appl, 1995, 11: 72--94

[3] Lu S Z, Wu Q. CBMO estimates for commutators and multilinear singular integrals. Math Nachr, 2004, 276: 75--88

[4] Muckenhoupt B, Wheeden R L. Weighted norm inqualities for singular and fractional integrals. Trans Amer Math Soc, 1971, 161: 249--261

[5] 陈冬香, 陈杰诚. 具有粗糙核的Marcinkiewicz积分交换子在齐次Herz空间中的有界性.数学物理学报, 2006, 26: 832--839

[6] 韩海燕, 陆善镇. 粗糙核分数次积分算子的多线性算子在Hardy空间上的有界性.数学物理学报, 2008, 28: 1--11

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