Composition–differentiation operators on the Hardy space
Copyright policy )Composition–differentiation operators on the Hardy space
Let φ \varphi be a nonconstant analytic self-map of the open unit disk in C \mathbb {C} , with ‖ φ ‖ ∞ > 1 \|\varphi \|_{\infty }>1 . Consider the operator D φ D_{\varphi } , acting on the Hardy space H 2 H^{2} , given by differentiation followed by composition with φ \varphi . We obtain results relating to the adjoint, norm, and spectrum of such an operator.
- Islamic Azad University, Tehran Iran (Islamic Republic of)
- Islamic Azad University of Shiraz Iran (Islamic Republic of)
- Connecticut College United States
norm, adjoint, Hardy spaces, Linear composition operators, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Norms (inequalities, more than one norm, etc.) of linear operators, Hardy space, Spectrum, resolvent, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), differentiation followed by composition, spectrum
norm, adjoint, Hardy spaces, Linear composition operators, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), Norms (inequalities, more than one norm, etc.) of linear operators, Hardy space, Spectrum, resolvent, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), differentiation followed by composition, spectrum
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