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Some Estimates for p-Adic Rough Multilinear Hausdorff Operators and Commutators on Weighted Morrey–Herz Type Spaces

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Abstract

The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey–Herz spaces with both power weights and Muckenhoupt weights. We also establish the boundedness for the commutators of p-adic rough multilinear Hausdorff operators on the weighted spaces with symbols in central BMO space.

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Author information

Authors and Affiliations

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

    N. M. Chuong

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

    D. V. Duong

  3. School of Mathematics, University of Transport and Communications, Hanoi, Vietnam

    K. H. Dung

Authors
  1. N. M. Chuong
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  2. D. V. Duong
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  3. K. H. Dung
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Corresponding authors

Correspondence to N. M. Chuong, D. V. Duong or K. H. Dung.

Additional information

This paper is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2014.51.

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Chuong, N.M., Duong, D.V. & Dung, K.H. Some Estimates for p-Adic Rough Multilinear Hausdorff Operators and Commutators on Weighted Morrey–Herz Type Spaces. Russ. J. Math. Phys. 26, 9–31 (2019). https://doi.org/10.1134/S1061920819010023

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  • DOI: https://doi.org/10.1134/S1061920819010023

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