Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc

• Filippo Bracci ^[2] ; Davide Cordella ^[2] ; Maria Kourou ^[1]
  1. [1] Aristotle University of Thessaloniki

     Aristotle University of Thessaloniki

     Dimos Thessaloniki, Grecia

     
  2. [2] Università di Roma Tor Vergata
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 2, 2022, págs. 527-546
• Idioma: inglés
• DOI: 10.4171/RMI/1283
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show that the orthogonal speed of semigroups of holomorphic selfmaps of the unit disc is asymptotically monotone in most cases. Such a theorem allows to generalize previous results of D. Betsakos and D. Betsakos, M. D. Contreras and S. Díaz-Madrigal and to obtain new estimates for the rate of convergence of orbits of semigroups.