Hardy type estimates for commutators of singular integrals 被引量：4

Hardy type estimates for commutators of singular integrals

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摘要 In this paper we study the Hardy type estimates for commutators Tb of standard Calder(o)n-Zygmund singular integral operators T with a Lipschitz function b. The corresponding results are also obtained on the commutators Sb generated by b with singular integral operators S with variable kernels. In this paper we study the Hardy type estimates for commutators Tb of standard Calderon-Zygmund singular integral operators T with a Lipschitz function b. The corresponding results are also obtained on the commutators Sb generated by b with singular integral operators S with variable kernels.

作者 SUN Yongzhong SU Weiyi

机构地区 IMS and Department of Mathematics

出处《Science China Mathematics》 SCIE 2005年第4期563-575,共13页 中国科学：数学（英文版）

基金 This work was supported by the National Natural Science Foundation of China(Grant Nos.10041005&10171045).

关键词 Calder(o)n-Zygmund SINGULAR integrals commutators Lipschitz TYPE spaces HARDY TYPE spaces SINGULAR INTEGRALS with variable kernels. Calderon-Zygmund singular integrals, commutators, Lipschitz type spaces, Hardy type spaces, singular integrals with variable kernels

分类号 N [自然科学总论]

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参考文献7

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3陆善镇,吴强,杨大春.Boundedness of commutators on Hardy type spaces[J].Science China Mathematics,2002,45(8):984-997. 被引量：11
4Yong Zhong SUN Wei Yi SU.An Endpoint Estimate for the Commutator of Singular Integrals[J].Acta Mathematica Sinica,English Series,2005,21(6):1249-1258. 被引量：7
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1CHEN YanPing1 & DING Yong2,3 1Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China,2School of Mathematical Science,Beijing Normal University,Beijing 100875,China,3Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education of China,Beijing 100875,China.Compactness of the commutators of parabolic singular integrals[J].Science China Mathematics,2010,53(10):2633-2648. 被引量：8
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3CHEN Qionglei & ZHANG Zhifei Department of Mathematics, Zhejiang University, Hangzhou 310028, China,Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Boundedness of a class of super singular integral operators and the associated commutators[J].Science China Mathematics,2004,47(6):842-853. 被引量：7
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5Guo-en HU~1 Da-chun YANG~(2+) Dong-yong YANG~2 1 Department of Applied Mathematics,University of Information Engineering,Zhengzhou 450002,China,2 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China.Weighted estimates for commutators of singular integral operators with non-doubling measures[J].Science China Mathematics,2007,50(11):1621-1641. 被引量：7
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Hardy type estimates for commutators of singular integrals 被引量：4

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