Growth Properties of the Cherednik-Opdam Transform in the Space L^p _α,β(R)

In this paper, using a generalized translation operator, we obtain a generalization of Younis Theorem 5.2 in [3] for the Cherednik-Opdam transform for functions satisfying the (δ, γ, p)- Cherednik-Opdam Lipschitz condition in the space L^p_ α,β(R).