Jacobi Transform of (Ν,Γ,P)-Jacobi–Lipschitz Functions in the Space Lp(R+,Δ(Α,Β)(T)Dt)

Abstract

Using a generalized translation operator, we obtain an analog of Younis' theorem [Theorem 5.2, Younis M.S. Fourier transforms of Dini–Lipschitz functions, Int. J. Math. Math. Sci., 1986] for the Jacobi transform for functions from the (ν,γ,p)-Jacobi–Lipschitz class in the space Lp(R+,Δ(α,β)(t)dt).