The Hardy class of geometric models and the essential spectral radius of composition operators

DOI10.1006/jfan.1996.2978zbMath0871.30033OpenAlexW2037221867MaRDI QIDQ677473

Pietro Poggi-Corradini

Publication date: 21 August 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.2978

zbMATH Keywords

Hardy spacesharmonic measurehyperbolic metricessential normcomposition operatorconformal mapessential spectral radiustwisted sector

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38)

Related Items (11)

Existence of quasiconformal mappings in a given Hardy space ⋮ Geometric characterizations for conformal mappings in weighted Bergman spaces ⋮ Extremal distance and conformal mappings in Hardy and Bergman spaces ⋮ Mean growth of Koenigs eigenfunctions ⋮ Norm convergence of normalized iterates and the growth of Kœnigs maps ⋮ Hardy spaces and twisted sectors for geometric models ⋮ Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions ⋮ Angular derivatives at boundary fixed points for self-maps of the disk ⋮ Essential angular derivatives and maximum growth of Koenigs eigenfunctions ⋮ A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains ⋮ On a Property of Harmonic Measure on Simply Connected Domains

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