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Strongly Singular Calderón–Zygmund Operator and Commutator on Morrey Type Spaces

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Abstract

In this paper, the author considers the boundedness of strongly singular Calderón–Zygmund operator and commutator generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space. Moreover, the boundedness of strongly singular Calderón– Zygmund operator on the predual of Morrey space is discussed.

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Authors and Affiliations

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

    Yan Lin

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  1. Yan Lin
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Correspondence to Yan Lin.

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Supported by the National Natural Science Foundation of China(10571014) and the Doctoral Programme Foundation of Institution of Higher Education of China(20040027001)

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Lin, Y. Strongly Singular Calderón–Zygmund Operator and Commutator on Morrey Type Spaces. Acta Math Sinica 23, 2097–2110 (2007). https://doi.org/10.1007/s10114-007-0974-0

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  • DOI: https://doi.org/10.1007/s10114-007-0974-0

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