Bounded projectors and duality in the spaces of functions holomorphic in the unit ball |
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Authors: | A I Petrosyan |
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Institution: | 1.Yerevan State University,Yerevan,Armenia |
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Abstract: | The paper studies the Banach spaces h ∞(φ), h 0(φ), and h 1(η) of harmonic functions over the unit ball in R n . These spaces depend on a weight function φ and a weight measure η. For a given function φ from a sufficiently broad class of functions, we solve the duality problem. that is, we construct measures η such that h 1(η)* ~ h ∞(φ) and h 0(φ)* ~ h 1(η). |
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