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The Boundedness for Commutators of Multipliers

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Abstract

Let [b, T] be the commutator generated by a Lipschitz function b ∈ Lip(β)(0 < β < 1) and multiplier T. The authors studied the boundedness of [b, T] on the Lebesgue spaces and Hardy spaces.

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Author information

Authors and Affiliations

  1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China

    Wen-ming Li

  2. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

    Shan-zhen Lu

  3. School of Sciences, Beijing University of Post and Telecommunications, Beijing 100875, China

    Hui-xia Mo

  4. School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

    Hui-xia Mo

Authors
  1. Wen-ming Li
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  2. Shan-zhen Lu
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  3. Hui-xia Mo
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Corresponding author

Correspondence to Hui-xia Mo.

Additional information

Supported by National 973 project (G.19990751) and the Doctoral Programme Foundation of Institution of Higher Education of China(20040027001).

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Li, Wm., Lu, Sz. & Mo, Hx. The Boundedness for Commutators of Multipliers. Acta Mathematicae Applicatae Sinica, English Series 23, 113–122 (2007). https://doi.org/10.1007/s10255-006-0355-y

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  • DOI: https://doi.org/10.1007/s10255-006-0355-y

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