Article ID Journal Published Year Pages File Type
4613988 Journal of Mathematical Analysis and Applications 2017 10 Pages PDF
Abstract

We discuss when the Königs eigenfunction associated with a non-automorphic selfmap of the complex unit disc that fixes the origin belongs to Banach spaces of holomorphic functions of Bloch and H∞H∞ type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on H∞H∞ for unbounded Königs eigenfunction are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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