Inequalities on weighted Paley-Wiener space with respect to doubling weights and \(A_\infty\) weights (Q6152535)

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scientific article; zbMATH DE number 7815869
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Inequalities on weighted Paley-Wiener space with respect to doubling weights and \(A_\infty\) weights
scientific article; zbMATH DE number 7815869

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    Inequalities on weighted Paley-Wiener space with respect to doubling weights and \(A_\infty\) weights (English)
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    12 March 2024
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    Various important weighted inequalities for weighted Paley-Wiener space are studied. The authors prove Bernstein-type inequalities, Schur-type inequalities and Plancherel-Pólya-type inequalities with doubling weights separately. The classical Logvinenko-Sereda theorem is generalized, and estimates for Christoffel functions are given. Finally, the weak Remez-type and Nikolskii-type inequalities with \(A_{\infty}\) weights are proved.
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    weighted Paley-Wiener space
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    doubling weights
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    \(A_\infty\) weights
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    weighted inequalities
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