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

نویسندگان

1 Department of Mathematics, Kutahya Dumlupinar University, Kutahya, Turkey

2 Department of Mathematics, Kutahya Dumlupinar University, Kutahya, Turkey

doi
10.22075/ijnaa.2021.18844.2039
چکیده

In this paper, we obtain a generalization of Titchmarsh's theorem for the Bessel transform for functions satisfying the $(\psi,p)$-Bessel Lipschitz condition in the Lebesgue space $L_{p,\gamma}(\mathbb{R}^{n}_{+})$ for $1< p\leq2$, $\gamma>0$.