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On the inclusion \(H^2(U^n)\subset H^{2n}(B_n)\) and the isoperimetric inequality - MaRDI portal

On the inclusion \(H^2(U^n)\subset H^{2n}(B_n)\) and the isoperimetric inequality (Q1268744)

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scientific article; zbMATH DE number 1216735
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English
On the inclusion \(H^2(U^n)\subset H^{2n}(B_n)\) and the isoperimetric inequality
scientific article; zbMATH DE number 1216735

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    On the inclusion \(H^2(U^n)\subset H^{2n}(B_n)\) and the isoperimetric inequality (English)
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    1 November 1998
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    The main result of the paper proves the inclusion of the Hardy space \(H^2(U^n)\) in \(H^{2n}(B_n)\), where \(U^n\) is the unit polydisc and \(B_n\) is the unit ball in \(\mathbb{C}^n\).
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    Carleman's inequality
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    Hardy space
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    unit polydisc
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    unit ball
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