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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