Fourier-Bessel transforms of Dini-Lipschitz functions on Lebesgue spaces $L_{p,\gamma}(\mathbb{R}^{n}_{+})$

Year 2020, Volume: 69 Issue: 1, 847 - 853, 30.06.2020

İsmail Ekincioğlu , Esra Kaya , Şeyma Ekincioglu

https://doi.org/10.31801/cfsuasmas.673191

Abstract

In this paper, we prove a generalization of Titchmarsh's theorem for the Laplace-Bessel differential operator in the space
$L_{p,\gamma}(\mathbb{R}^{n}_{+})$ for functions satisfying the $(\psi,p)$-Laplace-Bessel Lipschitz condition for $1

0 $.

Keywords

Laplace-Bessel differential operator, generalized shift operator, Laplace-Bessel Lipschitz function

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