“…If Ψ ( s , t ) induces a measure, we would have Ψ ( r , s ) + Ψ ( s , t ) = Ψ ( r , t ) for any t ≥ s ≥ r ≥ 0, but we have this equality if and only if t = s = r ≥ 0. The function Ψ does, however, induce a set function satisfying the following superadditivity property, and therefore, the generalized maximal inequalities in Theorems 5.1 and 5.2 of Pang and Zhou () can be applied.…”