Universality of Composition Operators and Applications to Holomorphic Dynamics

Research paper by Andreas Jung

Indexed on: 03 Mar '16Published on: 03 Mar '16Published in: Mathematics - Complex Variables

Abstract

By investigating which level of universality composition operators \$C_f\$ can have, where the symbol \$f\$ is given by the restriction of a transcendental entire function to suitable parts of the Fatou set of \$f\$, this work combines the theory of dynamics of continuous linear operators on spaces of holomorphic functions with the theory of non-linear complex dynamics on the complex plane.