Integrability problems and Boas type results for Hartley-Bessel transforms

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发表日期：

2025年5月30日

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Sergey Volosivets

摘要

In the paper, we give sufficient conditions for weighted integrability of Hartley-Bessel transform of a function in terms of generalized modulus of smoothness in weighted space $L^p$ $L^{p}$ on ${\mathbb {R}}$ $R$ . For $p=2$ $p = 2$ we prove the sharpness of these conditions. Boas type results connecting the growth or decay of a function in the mean and the uniform generalized smoothness properties of its Hartley-Bessel transform are established.