The Journal of geometric analysis, 2021-11, Vol.31 (11), p.10603-10633
2021
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Details
- Autor(en) / Beteiligte
- Titel
- Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk
- Ist Teil von
- The Journal of geometric analysis, 2021-11, Vol.31 (11), p.10603-10633
- Ort / Verlag
- New York: Springer US
- Erscheinungsjahr
- 2021
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We study relationships between the asymptotic behaviour of a non-elliptic semigroup of holomorphic self-maps of the unit disk and the geometry of its planar domain (the image of the Koenigs function). We establish a sufficient condition for the trajectories of the semigroup to converge to its Denjoy–Wolff point with a definite slope. We obtain as a corollary two previously known sufficient conditions.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1050-6926eISSN: 1559-002XDOI: 10.1007/s12220-021-00659-4Titel-ID: cdi_proquest_journals_2570438580
- Format
- –
- Schlagworte
- Abstract Harmonic Analysis, Asymptotic properties, Convex and Discrete Geometry, Differential Geometry, Dynamical Systems and Ergodic Theory, Fourier Analysis, Geometry, Global Analysis and Analysis on Manifolds, Mathematical analysis, Mathematics, Mathematics and Statistics, Semigroups