Trajectories of semigroups of holomorphic functions and harmonic measure

DOI10.1016/j.jmaa.2019.02.024zbMath1486.47077arXiv1902.03426OpenAlexW2912203097MaRDI QIDQ2633705

Georgios Kelgiannis

Publication date: 10 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03426

zbMATH Keywords

trajectoriesharmonic measureslopesemigroups of holomorphic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Groups and semigroups of linear operators (47D03) Capacity and harmonic measure in the complex plane (30C85)

Related Items (5)

Quasi-geodesics and backward orbits under semigroups of holomorphic functions ⋮ On the spectral value of semigroups of holomorphic functions ⋮ Angular extents and trajectory slopes in the theory of holomorphic semigroups in the unit disk ⋮ Non-tangential limits and the slope of trajectories of holomorphic semigroups of the unit disc ⋮ Characterizations of convergence by a given set of angles in simply connected domains

Cites Work

• On the asymptotic behavior of the trajectories of semigroups of holomorphic functions
• Linearization models for complex dynamical systems. Topics in univalent functions, functional equations and semigroup theory.
• Semigroups of analytic functions and composition operators
• Parabolic type semigroups: asymptotics and order of contact
• Slope problem for trajectories of holomorphic semigroups in the unit disk
• Analytic flows on the unit disk: angular derivatives and boundary fixed points
• Geometric description of the classification of holomorphic semigroups
• Linearization models for parabolic dynamical systems via Abel's functional equation
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