Two‐sided estimates of Lebesque constants for Hölder spaces

2024

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DOI 10.1002/mana.202200286
Data confidence 70 medium
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Abstract

Abstract A two‐sided estimate of Lebesgue constants is proposed for the Hölder space , constructed from the modulus of continuity of the th order calculated in the symmetric space . Choosing different function spaces , we obtain new criteria for the convergence of classical Fourier series.