| Let B be a separable Banach space, let {Xni,Fni,un≤i≤vn,n≥1} be an arrays of B-valued adapted random elements, and let {αni,un≤i≤vn,n≥1} be an arrays of real numbers. When 0＜r＜1 or 1≤r≤p and B are p-smoothable, Lr convergence of weighted sums ∑vni=un aniXni is investigated in this paper. Some known results are extended. |
