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Boundedness of Commutators of Marcinkiewicz Integral with Rough Variable Kernel

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Abstract.

In this paper the authors give the \(L^2({\mathbb{R}}^n)\,(n \geq 2)\) boundedness of the commutator of Marcinkiewicz integral with rough variable kernel, which is an extension of the result in [5] .

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Applied Science School, University of Science and Technology Beijing, Beijing, 100083, The People’s Republic of China

    Yanping Chen

  2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education, Beijing, 100875, The People’s Republic of China

    Yong Ding

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  1. Yanping Chen
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  2. Yong Ding
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Correspondence to Yong Ding.

Additional information

Research supported by NSF of China (Grant: 10571015) and SRFDP of China (Grant: 20050027025).

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Chen, Y., Ding, Y. Boundedness of Commutators of Marcinkiewicz Integral with Rough Variable Kernel. Integr. equ. oper. theory 61, 477–492 (2008). https://doi.org/10.1007/s00020-008-1601-x

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  • DOI: https://doi.org/10.1007/s00020-008-1601-x

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