6533b7d7fe1ef96bd12683d4

RESEARCH PRODUCT

Königs eigenfunction for composition operators on Bloch and H∞ type spaces

Ted EklundMikael LindströmPablo Galindo

subject

Pure mathematicsMathematics::Complex VariablesComposition operatorApplied Mathematics010102 general mathematicsMathematical analysisBanach spaceHolomorphic functionComposition (combinatorics)EigenfunctionType (model theory)Characterization (mathematics)01 natural sciences010101 applied mathematicsComputer Science::Discrete Mathematics0101 mathematicsUnit (ring theory)AnalysisMathematics

description

Abstract We discuss when the Konigs 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 ∞ type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on H ∞ for unbounded Konigs eigenfunction are obtained.

yearjournalcountryeditionlanguage
2017-01-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2016.04.036