On products of bounded quasi-continuous functions (Q1396764)

Characterizations of real functions which are sums of \(k\) nonnegative (Darboux) quasi-continuous functions among all cliquish functions are proved in two theorems. In two other theorems, those real cliquish functions are described that are products of \(k\) bounded (Darboux) quasi-continuous functions, under some restrictions on their measurability. Several observations concerning products of strong Świątkowski functions, a subclass of Darboux quasi-continuous functions, are made.