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Weighted Triebel-Lizorkin and Herz Spaces Estimates for p-Adic Hausdorff Type Operator and its Applications

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Abstract

The aim of this paper is to establish the boundedness of the Hausdorff operator in the Triebel-Lizorkin spaces and Herz spaces with absolutely homogeneous weights and the Muckenhoupt weights on p-adic field. Moreover, the corresponding operator norms are estimated. Some applications to the Hardy, Hilbert and weighted Hardy-Cesàro operators on p-adic field are also shown.

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Authors and Affiliations

  1. Faculty of Basic Sciences, Van Lang University, Ho Chi Minh City, 700000, Vietnam

    K. H. Dung

  2. School of Mathematics, Mientrung University of Civil Engineering, Phu Yen, 620000, Vietnam

    D. V. Duong

  3. FPT University, Hoa Lac High Tech Park, Hanoi, 100000, Vietnam

    N. D. Duyet

Authors
  1. K. H. Dung
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  2. D. V. Duong
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  3. N. D. Duyet
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Corresponding author

Correspondence to D. V. Duong.

Additional information

The first author would like to thank Van Lang University, Vietnam, for funding this work.

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Dung, K.H., Duong, D.V. & Duyet, N.D. Weighted Triebel-Lizorkin and Herz Spaces Estimates for p-Adic Hausdorff Type Operator and its Applications. Anal Math 48, 717–740 (2022). https://doi.org/10.1007/s10476-022-0129-7

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  • DOI: https://doi.org/10.1007/s10476-022-0129-7

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