Abstract
We discuss a sharpened Hausdorff–Young inequality and estimate the maximal coefficients of orthogonal expansions in terms of Freud polynomials when \(1<p<2\) and \(2<p<\infty\). We also consider n-dimensional expansions by orthogonal functions associated to Freud-type weights when \(1<p<2\).
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Calderón, C.P., Torchinsky, A. The Hausdorff–Young Inequality and Freud weights. Acta Math. Hungar. 170, 681–703 (2023). https://doi.org/10.1007/s10474-023-01354-2
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DOI: https://doi.org/10.1007/s10474-023-01354-2