Some Conditions for Uniform Convergence of Integrals
Emanuel Parzen · Proceedings of the American Mathematical Society · 1954
Let m be a sigma-finite measure on a space R, let T be an abstract index set, and for each t£T and n = l, 2, ■ ■ ■ , letfn(x, t),f(x, t) be functions measurable in x£i?.It is of some interest to determine conditions for statements of the form