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).
DOI: 10.46991/PYSU:A/2017.51.1.003 Physical and Mathematical Sciences, 51(1 (242) 3-7
