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    [email protected] [email protected], PhD.
    Category: Natural Sciences, Mathematics
    DOI: 10.46991/PYSU:A/2017.51.1.003
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      WEIGHTED SPACES OF FUNCTIONS HARMONIC IN THE UNIT BALL

      [email protected] [email protected], PhD.
      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: 2025-02-06
      © 2026 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

      We introduce the Banach spaces h∞(φ), h0(φ) and h1(ψ) functions harmonic in the unit ball B⊂Rn. These spaces depend on weight functions φ, ψ. We prove that if φ and ψ form a normal pair, then h1(ψ)∗∼h∞(φ) and h0(φ)∗∼h1(ψ).

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