Erratum to: "Painlevé null sets, dimension and compact embedding of weighted holomorphic spaces" (Studia Math. 213 (2012), 169-187)
In the proof of Proposition 3.3 in our paper [AT] there is a flaw which cannot be corrected. We made the wrong conclusion that the coincidence of the norm topology of ‖ · ‖w2 and the topology co on the unit ball Bw1(G) implies the existence of a compact set K in G and a positive constant A such that ‖f‖w2 ≤ A‖f‖K for all f ∈ Hw1(G). Obviously, we have to replace the latter by a weaker condition (see (ii) below) and restate Proposition 3.3 as follows.