In this talk, we will review the basic properties of the Mellin space representation of conformal correlation functions and use it to study high energy scattering in the dual string theory on Anti-de Sitter space. We shall see that this regime is dominated by the exchange of the leading Regge trajectory (i.e. leading twist fields), whose resumed contribution can be described by pomeron exchange. In the process, we will obtain new predictions for 3pt-functions involving leading twist operators.