Abstract
Let K be a compact set of Rn and t >= 0. In this paper, we discuss the relation between the t-dimensional Hewitt-Stromberg premeasure and measure denoted by Ht and Ht respectively. We prove : if Ht(K) < +infinity then Ht(K) = Ht(K) and if Ht(K) = +infinity, there exists a compact subset F of K such that Ht(F) = Ht(F) and Ht(F) is close as we like to Ht(K).