Norms and spectral radii of composition operators acting on the Dirichlet space
Copyright policy )Norms and spectral radii of composition operators acting on the Dirichlet space
The authors obtain new upper bounds on the norms of univalently induced composition operators acting on the Dirichlet space and they compute explicity the norms for univalent symbols whose range is the disk minus a set of measure zero. As an application, they show that the spectral radius of every univalently induced composition operator on the Dirichlet space is equal to one.
spectral radius, Hyperbolic metric, Applied Mathematics, Linear composition operators, Norms (inequalities, more than one norm, etc.) of linear operators, Dirichlet space, hyperbolic metric, operator norm, Operator norm, composition operator, Spaces of bounded analytic functions of one complex variable, Composition operator, Hilbert spaces of continuous, differentiable or analytic functions, Spectral radius, Analysis
spectral radius, Hyperbolic metric, Applied Mathematics, Linear composition operators, Norms (inequalities, more than one norm, etc.) of linear operators, Dirichlet space, hyperbolic metric, operator norm, Operator norm, composition operator, Spaces of bounded analytic functions of one complex variable, Composition operator, Hilbert spaces of continuous, differentiable or analytic functions, Spectral radius, Analysis
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