Two‐sided estimates of Lebesque constants for Hölder spaces

Evgenii I. Berezhnoi

Mathematische Nachrichten, 2024, vol. 297, issue 12, 4750-4765

Abstract: A two‐sided estimate of Lebesgue constants is proposed for the Hölder space Hkω(X)$H_k^\omega (X)$, constructed from the modulus of continuity of the k$k$th order calculated in the symmetric space X$X$. Choosing different function spaces X$X$, we obtain new criteria for the convergence of classical Fourier series.

Date: 2024
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https://doi.org/10.1002/mana.202200286

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:12:p:4750-4765

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