Abstract. In this work, we discuss various kinds of ℐ₂-uniform convergence for double sequences of functions and introduce the concepts of ℐ₂ and ℐ 2 ∗ -uniform convergence, ℐ₂-uniformly Cauchy ...

The Annals of Mathematical Statistics, Vol. 33, No. 2 (Jun., 1962), pp. 659-680 (22 pages) In this paper the relation between weak convergence of a sequence of measures and uniform convergence over ...