Some Spaces of Harmonic Functions in the Unit Ball of ℝn


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详细

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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A. Petrosyan

Yerevan State University

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Email: apetrosyan@ysu.am
亚美尼亚, Yerevan, 375049


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