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Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces

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Abstract

The purpose of this paper is to establish some necessary and sufficient conditions for the boundedness of the multilinear Hausdorff operators on the product of some two-weighted function spaces such as the two-weighted Morrey, Herz and Morrey–Herz spaces. Moreover, some sufficient conditions for the boundedness of multilinear Hausdorff operators on such spaces with respect to the Muckenhoupt weights are also given.

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Acknowledgements

The authors are grateful to the anonymous referees for their very careful reading and many valuable comments which made this article more readable.

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Authors and Affiliations

  1. Institute of mathematics, Vietnamese Academy of Science and Technology, Hanoi, Vietnam

    Nguyen Minh Chuong

  2. School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, Vietnam

    Dao Van Duong

  3. FPT University, Hoa Lac High Tech Park, Hanoi, Vietnam

    Nguyen Duc Duyet

Authors
  1. Nguyen Minh Chuong
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  2. Dao Van Duong
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  3. Nguyen Duc Duyet
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Correspondence to Dao Van Duong.

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Communicated by Yuri Karlovich.

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Chuong, N.M., Van Duong, D. & Duyet, N.D. Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces. Adv. Oper. Theory 5, 1780–1813 (2020). https://doi.org/10.1007/s43036-020-00083-5

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  • DOI: https://doi.org/10.1007/s43036-020-00083-5

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