The composition operator CΦλ induced by the function Φλ

Abstract EN

The main aim of this search to study the composition operator fl C induced by the automorphism l f and discuss the adjoint of the composition operato, also we discuss some properties of composition operator and tried to see the analogue properties in order to show how the results are changed by changing the function y of U.

In order to make the work accessible to the reader, we have included some knownresults with the details of the proofs for some cases and proofs for the properties.