A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic H\"older tract
Dynamical Systems
2017-09-08 v1 Complex Variables
Abstract
We improve existing lower bounds of the hyperbolic dimension for meromophic functions that have a logarithmic tract {\Omega} which is a H\"older domain. These bounds are given in terms of the fractal behavior, measured with integral means, of the boundary of {\Omega} at infinity.
Keywords
Cite
@article{arxiv.1709.02188,
title = {A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic H\"older tract},
author = {Volker Mayer},
journal= {arXiv preprint arXiv:1709.02188},
year = {2017}
}
Comments
15 pages