Linear fractional composition operators on \(H^ 2\)
Let \(\phi\) be an analytic function mapping the unit disk D into itself. The composition operator \(C_{\phi}\) on \(H_ 2\) is defined by \(C_{\phi}f=f\circ \phi\). In this paper the author studies such composition operators when \(\phi\) is a linear fractional transformation. For example, the author considers the computation of the adjoint and the operator norm for certain such composition operators.
scientific article; zbMATH DE number 4040630
scientific article