On the porosity of the limit set and the boundedness of the oscillation of the function $\log(\operatorname{dist}(X,\Lambda))$ in the case of a Fucshian group without parabolic elements

Let $\Lambda$ be the limit set of a finitely generated Fucshian group of the second kind. If the group does not contain parabolic elements, then $\Lambda$ is porous and the function $\log(\operatorname{dist}(X,\Lambda))$ belongs to the class BMO.