Linear fractional composition operators on H2
Copyright policy )Linear fractional composition operators on H2
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.
- Purdue University System United States
- Purdue University West Lafayette United States
linear fractional transformation, operator norm, computation of the adjoint, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, composition operators, Linear operators on function spaces (general)
linear fractional transformation, operator norm, computation of the adjoint, Banach algebras of differentiable or analytic functions, \(H^p\)-spaces, composition operators, Linear operators on function spaces (general)
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