Artículo
Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk
Autor/es | Contreras Márquez, Manuel Domingo
Díaz Madrigal, Santiago Gumenyuk, Pavel |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Fecha de publicación | 2021-04 |
Fecha de depósito | 2021-06-28 |
Publicado en |
|
Resumen | 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 ... 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. |
Identificador del proyecto | PGC2018-094215-B-100
FQM-133 |
Cita | Contreras Márquez, M.D., Díaz Madrigal, S. y Gumenyuk, P. (2021). Angular Extents and Trajectory Slopes in the Theory of Holomorphic Semigroups in the Unit Disk. Journal of Geometric Analysis, April |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
JGA_contreras-marquez_2021_ang ... | 504.7Kb | [PDF] | Ver/ | |