Abstract:
In 1964 Borwein presented functional characterization of the normed linear spaces w(p) and W-p. These two spaces are clearly linked to Cesaro summability [C, 1] in particular it should be noted that a sequence x in w(p) if and only if x is Cesaro summable. The goal of this paper includes extension of these notions to double function space thus producing multidimensional analog of Borwein's results.