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On the Commutator of Marcinkiewicz Integrals with Rough Kernels in Variable Morrey-Type Spaces

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Ukrainian Mathematical Journal Aims and scope

Within the framework of variable-exponent Morrey and Morrey–Herz spaces, we prove some boundedness results for the commutator of Marcinkiewicz integrals with rough kernels. The proposed approach is based on the theory of variable exponents and on the generalization of the BMO-norms.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Anhui Normal University, Wuhu, China

    M. Qu

  2. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China

    L. Wang

Authors
  1. M. Qu
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  2. L. Wang
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Correspondence to L. Wang.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 7, pp. 928–944, July, 2020. Ukrainian DOI: 10.37863/umzh.v72i7.6023.

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Qu, M., Wang, L. On the Commutator of Marcinkiewicz Integrals with Rough Kernels in Variable Morrey-Type Spaces. Ukr Math J 72, 1080–1099 (2020). https://doi.org/10.1007/s11253-020-01843-5

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  • DOI: https://doi.org/10.1007/s11253-020-01843-5

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