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Boundedness of Commutators on Hardy-Type Spaces

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Abstract.

In this paper, the boundedness of the commutator generated by strongly singular Calderón-Zygmund operator and a Lipschitz function is discussed on the classical Hardy spaces and the Herz-type Hardy spaces. The authors also get the boundedness of the strongly singular Calderón-Zygmund operator itself and the commutator generated by strongly singular Calderón-Zygmund operator and a BMO function on the Herz-type Hardy spaces.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P.R. China

    Yan Lin & Shanzhen Lu

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  1. Yan Lin
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  2. Shanzhen Lu
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Correspondence to Shanzhen Lu.

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Lin, Y., Lu, S. Boundedness of Commutators on Hardy-Type Spaces. Integr. equ. oper. theory 57, 381–396 (2007). https://doi.org/10.1007/s00020-006-1461-1

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  • DOI: https://doi.org/10.1007/s00020-006-1461-1

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