Norm convergence of normalized iterates and the growth of Kœnigs maps

DOI10.1007/BF02384832zbMath1029.30017MaRDI QIDQ1416626

Pietro Poggi-Corradini

Publication date: 15 December 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (5)

Generalized iteration ⋮ Königs eigenfunction for composition operators on Bloch and \(H^\infty\) type spaces ⋮ Backward iteration in the unit ball ⋮ Pointwise convergence on the boundary in the Denjoy-Wolff theorem ⋮ Essential angular derivatives and maximum growth of Koenigs eigenfunctions

Cites Work

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• The Hardy class of geometric models and the essential spectral radius of composition operators
• An extension of the Nevanlinna theory
• Composition operators and classical function theory
• The Hardy class of Koenigs maps
• Mean growth of Koenigs eigenfunctions

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