Fourier-Bessel Dini Lipschitz functions in the space $$L_{\alpha ,n}^{2}$$ L α , n 2

Abstract

In this paper, using a generalized translation operator, we obtain an analog of Younis’s Theorem 5.2 in Younis (Int J Math Math Sci 9:301–312, 1986) for the generalized Fourier-Bessel transform for functions satisfying the Fourier-Bessel Dini Lipschitz condition in the space $$L_{\alpha ,n}^{2}$$ .