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On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk

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Abstract

We describe dual spaces of classes of the Hardy–Sobolev type \(F_l^{pq} (U^n )\) of functions holomorphic in a polydisk for 0 < p ≤ 1 and q ∈ (0, ∞) and for p ∈ (1, ∞) and q = 1.

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Shamoyan, R.F. On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk. Ukrainian Mathematical Journal 55, 812–831 (2003). https://doi.org/10.1023/B:UKMA.0000010258.47983.00

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010258.47983.00

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