  We consider the behaviour at a boundary point of an open subset
$U\subset\mathbb{C}$ of distributions that are holomorphic on $U$ and belong to
what are called negative Lipschitz classes. The result explains the
significance for holomorphic functions of series of Wiener type involving
Hausdorff contents of dimension between $0$ and $1$. We begin with a survey
about function spaces and capacities that sets the problem in context and
reviews the relevant general theory. The techniques used include the
construction of a special partition of the identity that may be of independent
interest.
