Mean convergence theorem for multidimensional arrays of random elements in Banach spaces

[摘要] For ad-dimensional array of random elements{Vn,n∈ℤ+d}in a real separable stable typep(1≤p<2) Banach space, a mean convergence theorem is established. Moreover, the conditionsfor the convergence in mean of orderpare shown to completely characterize stable-typepBanach spaces.

[学科分类] 应用数学