Some properties of the noncommutative H_p~((r,s))(A;l_∞)and H_p(A;l_1)spaces

摘要

In this paper, we introduce the noncommutative H_p~((r,s))(A; l_∞)and H_p(A; l_1)spaces. Then, it is shown that both (rs) spaces are Banach spaces for r,s≥ 2(andresp. p≥ 1)and the analogue of Saito's theorem for the H_p~((r,s))(A; l_∞) and H_p(A; l_1) spaces are proved.