Necessary and sufficient condition for the continuity of the superposition operator (Q1084657)

Under the hypotheses of the preceding review, the author shows that a Carathéodory condition for f is necessary and sufficient, with additional assumptions, for the continuity of the superposition operator generated by f. Results based on weak convergence are also studied [cf. the paper by \textit{G. Buttazzo} and \textit{G. Del Maso}, Rend. Mat. Appl., VII Ser. 3, 491-509 (1983; Zbl 0536.47027)].