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Multilinear Calderón-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces

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Abstract

The boundedness of multilinear Calderón-Zygmund operators and their commutators with bounded mean oscillation (BMO) functions in variable exponent Morrey spaces are obtained.

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Acknowledgements

The first author was supported by the TianYuan Special Funds of the National Natural Science Foundation of China (Grant No. 11426221) and the High Level Introduction of Talent Research Start-up Fund by Central South University of Forestory and Technology (Grant No. 1040212); the second author was supported by the National Natural Science Foundation of China (Grant No. 11361020).

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Authors and Affiliations

  1. School of Sciences, Central South University of Forestry and Technology, Changsha, 410004, China

    Wei Wang

  2. School of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, China

    Jingshi Xu

Authors
  1. Wei Wang
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  2. Jingshi Xu
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Correspondence to Jingshi Xu.

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Wang, W., Xu, J. Multilinear Calderón-Zygmund operators and their commutators with BMO functions in variable exponent Morrey spaces. Front. Math. China 12, 1235–1246 (2017). https://doi.org/10.1007/s11464-017-0653-0

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  • DOI: https://doi.org/10.1007/s11464-017-0653-0

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