TY - JOUR ID - 870 TI - Composition operators and natural metrics in meromorphic function classes $Q_p$ JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Kamal, A. AD - Port Said University‎, ‎Faculty of Science‎, ‎Department of Mathematics, Port Said 42521‎, ‎Egypt. Y1 - 2016 PY - 2016 VL - 42 IS - 5 SP - 1143 EP - 1154 KW - Meromorphic classes‎ KW - composition operators‎ KW - ‎Lipschitz‎ ‎continuous DO - N2 - ‎In this paper‎, ‎we investigate some results on natural metrics on the $\mu$-normal functions and meromorphic $Q_p$-classes‎. ‎Also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎Moreover‎, ‎compact composition operators $C_\phi$ and Lipschitz continuous operators acting from $\mu$-normal functions to the meromorphic $Q_p$-classes are characterized by conditions depending only on $\phi.$ UR - http://bims.iranjournals.ir/article_870.html L1 - http://bims.iranjournals.ir/article_870_35e24f164aba15e6073c999fba0d70b5.pdf ER -