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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

WEIGHTED SPACES OF FUNCTIONS HARMONIC IN THE UNIT BALL

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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