Composition operators and natural metrics in meromorphic function classes Q_p

In this paper, we investigate some results on natural metrics on the µ-normal functions and meromorphic Qp-classes. Also, these classes are shown to be complete metric spaces with respect to the corresponding metrics. Moreover, compact composition operators Cϕ and Lipschitz continuous operators acting from µ-normal functions to the meromorphic Qp-classes are characterized by conditions depending only on ϕ: