Infinitesimal generators of semigroups with prescribed boundary fixed points
Complex Variables
2020-03-09 v1 Dynamical Systems
Abstract
We study infinitesimal generators of one-parameter semigroups in the unit disk having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with Krein-Milman Theory we obtain new sharp inequalities relating spectral values at the fixed points with other important quantities having dynamical meaning.vWe also give a new proof of the classical Cowen-Pommerenke inequalities for univalent self-maps of .
Cite
@article{arxiv.2003.02896,
title = {Infinitesimal generators of semigroups with prescribed boundary fixed points},
author = {Manuel D. Contreras and Santiago Díaz-Madrigal and Pavel Gumenyuk},
journal= {arXiv preprint arXiv:2003.02896},
year = {2020}
}