A non-autonomous version of the Denjoy-Wolff theorem

DOI10.1007/s11785-011-0214-6zbMath1283.30055arXiv0910.2875OpenAlexW2033231298MaRDI QIDQ371886

Tiziano Casavecchia, Santiago Diaz-Madrigal

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2875

zbMATH Keywords

Loewner chainsiteration theoryDenjoy-Wolff theoremevolution families

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (2)

Angular and unrestricted limits of one-parameter semigroups in the unit disk ⋮ Loewner theory in annulus I: Evolution families and differential equations

Cites Work

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• Asymptotic behavior of one-parameter semigroups and rigidity of holomorphic generators
• Composition operators and classical function theory
• Scaling limits of loop-erased random walks and uniform spanning trees
• On normal and automorphic functions
• Evolution families and the Loewner equation. II: Complex hyperbolic manifolds
• Evolution families and the Loewner equation I: the unit disc

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