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On \(L_{p}\)-generalization of a theorem of Adamyan, Arov, and Kreĭn - MaRDI portal

On \(L_{p}\)-generalization of a theorem of Adamyan, Arov, and Kreĭn (Q696898)

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scientific article; zbMATH DE number 1800270
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On \(L_{p}\)-generalization of a theorem of Adamyan, Arov, and Kreĭn
scientific article; zbMATH DE number 1800270

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    On \(L_{p}\)-generalization of a theorem of Adamyan, Arov, and Kreĭn (English)
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    12 September 2002
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    The Adamyan-Arov-Krein theorem [\textit{V. M. Adamjan, D. Z. Arov} and \textit{M. G. Krein}, Mat. Sb., N. Ser. 86(128), 34-75 (1971; Zbl 0243.47023)] is extended to the case when the symbol \(f\) of a Hankel operator is a measurable function on the boundary \(\Gamma\) of a simple connected domain \(G\) such that \(f\in L_p(\Gamma)\), \(1\leq p< \infty\).
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    meromorphic approximation
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    Hankel operator
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    Adamyan-Arov-Krein theorem
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    Jordan curve
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    \(n\)th Gelfand/Kolmogorov number
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    Blaschke product
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    \(s\)-number
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