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    Author(s)

    Hamza Brahim Boulares, PhD. Douadi Drihem — Academia (Universities, Colleges and other higher learning entities) (Department of Mathematics, M'sila University), PhD. Wafa Hebbache — Academia (Universities, Colleges and other higher learning entities) (Department of Mathematics, M'sila University)
    Category: Mathematics
    DOI: 10.52737/18291163-2023.15.3-1-33
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      Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces

      Hamza Brahim Boulares, PhD. Douadi Drihem — Academia (Universities, Colleges and other higher learning entities) (Department of Mathematics, M'sila University), PhD. Wafa Hebbache — Academia (Universities, Colleges and other higher learning entities) (Department of Mathematics, M'sila University)
      This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

      Submitted: 2024-12-03; Published: 2023-03-10
      © 2025 by author(s) and The Gufo Inc.
      CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

      Abstract

      This paper is concerned with the boundedness properties of singular integral operators on variable weak Herz spaces and variable weak Herz-type Hardy spaces. Allowing our parameters to vary from point to point will raise extra difficulties, which, in general, are overcome by imposing regularity assumptions on these exponents, either at the origin or at infinity. Our results cover the classical results on weak Herz-type Hardy spaces with fixed exponents.

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