**MSC:**- 30F40 Kleinian groups, See also {20H10}

the Patterson measure

for geometrically finite Kleinian

groups with parabolic elements. This

`weak multifractal

analysis' is based on

afurther investigation of the

Hausdorff dimension of the Jarn\'{\i}k limit

sets, which

represent the natural generalisation of the sets of

well-approximable irrational numbers

to the theory of

Kleinian groups.