Harmonic Measures, Green Potentials and Semigroups of Holomorphic Functions

Let K be a compact subset of the unit disk D . We examine the asymptotic behavior of its trajectory under a semigroup of holomorphic self-maps ( ϕ t ) t ≥ 0 of D . More specifically, we obtain results concerning its geometric characteristics such as hyperbolic area, hyperbolic diameter, as well as p...

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Veröffentlicht in:	Potential analysis 2020-02, Vol.52 (2), p.301-319
1. Verfasser:	Kourou, Maria
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytic functions Asymptotic properties Diameters Functional Analysis Geometry Mathematical analysis Mathematics Mathematics and Statistics Potential Theory Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
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