DYNAMICAL SYSTEMS INDUCED BY COMPOSITION OPERATORS IN SPACES OF ANALYTIC FUNCTIONS

Abstract

In this article, we study a composition operator Ct which induce dynamical systems on various spaces like weighted Bergman space Apα, weighted Lebesgue space Lpw, weighted Hardy space Hpw, classical Dirichlet space H(D), VMOA space and little Bloch space. Some examples of dynamical systems on different spaces are also studied.