The thermoplastic molding composition comprises components A, C, D, E and, where appropriate, B, F and G, the total weight of which is 100% by weight, and also component H: a) as component A, from 5 to 94.8% by weight of at least one polyaryl ether sulfone, b) as component B, from 0 to 20% by weight of at least one functionalized polyaryl ether sulfone, c) as component C, from 5 to 94.8% by weight of at least one polyamide, d) as component D, from 0.1 to 10% by weight of at least one epoxy resin, e) as component E, from 0.1 to 60% by weight of fibrous or particulate fillers or a mixture of these, f) as component F, from 0 to 40% by weight of impact-modifying rubbers which have functional groups, g) as component G, from 0 to 40% by weight of other conventional additives and processing aids, h) as component H, from 100 ppm to 0.5% by weight, based on the amounts of components A to G, of copper bromide and/or copper iodide.