A lower bound of the hyperbolic dimension for meromorphic functions having a logarithmic Hölder tract
arXiv:1709.02188
Abstract
We improve existing lower bounds of the hyperbolic dimension for meromophic functions that have a logarithmic tract Ω which is a Hölder domain. These bounds are given in terms of the fractal behavior, measured with integral means, of the boundary of Ω at infinity.
15 pages