Restricted T-universal functions on multiply connected domains

Let G ⊂ C be a domain which is bounded by a finite number of pairwise disjoint Jordan curves. We prove the existence of a function which is holomorphic exactly on G and has universal translates with respect to a prescribed set E ⊂∂G and which in addition is continuous on G ^-\E. This revised version was published online in June 2006 with corrections to the Cover Date.