Email this article Some Spaces of Harmonic Functions in the Unit Ball of ℝn
- Authors: Petrosyan A.I.1
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Affiliations:
- Yerevan State University
- Issue: Vol 40, No 8 (2019)
- Pages: 1132-1136
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/205251
- DOI: https://doi.org/10.1134/S1995080219080213
- ID: 205251
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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).
About the authors
A. I. Petrosyan
Yerevan State University
Author for correspondence.
Email: apetrosyan@ysu.am
Armenia, Yerevan, 375049
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