In this note we give a condition on a function , both necessary and sufficient, under which the nonlinear composition operator maps the space of all regular functions into itself. Moreover, we show that in this case the operator is automatically bounded in the supremum norm.
Cite this article
Wadie Aziz, Nelson Merentes, José Luis Sánchez, A Note on the Composition of Regular Functions. Z. Anal. Anwend. 33 (2014), no. 1, pp. 119–123DOI 10.4171/ZAA/1502