Abstract Let u be an analytic function in the unit disk $\mathbb{D}$ D and φ self-map of . We give characterizations symbols for which multiplication operator $M_{u}$ M u weighted composition $M_{u,\varphi }$ , φ</mml...

Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research the Institute Computer Science, Czestochowa University Technology

Let G and $$\Omega $$ be two planar domains. We give necessary sufficient conditions on a sequence $$(\phi _n)$$ of eventually injective holomorphic mappings from to for the existence function $$f\in H(\Omega )$$ whose orbit under composition by is dense in H(G). This extends result same nature obtained Grosse-Erdmann Mortini when $$G=\Omega . An interconnexion between topological properties ap...