On boundary critical points for semigroups of analytic functions

Autores: S. Diaz-Madrigal, Manuel Domingo Contreras Márquez
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 98, Nº 1, 2006, págs. 125-142
Idioma: inglés
DOI: 10.7146/math.scand.a-14987
Enlaces
- Texto completo
Resumen
- We analyze the relationship between boundary fixed points of semigroups of analytic functions and boundary critical points of their infinitesimal generators. As a consequence, we show two new inequalities for analytic self-maps of the unit disk. The first one is about angular derivatives at fixed points of functions belonging to semigroups of analytic functions. The second one deals with angular derivatives at contact points of arbitrary analytic functions from the unit disk into itself.