双指标非交换鞅的一些不等式
INEQUALITIES OF TWO-PARAMETER NONCOMMUTATIVE MARTINGALES

本文研究了双指标非交换鞅的一些不等式问题.利用单指标非交换鞅不等式的方法，获得了双指标非交换鞅的‖·‖Hp（M）和‖·‖hp（M）之间的关系（2 ≤ p < ∞）.推广了双指标非交换鞅的‖·‖Lp（M）和‖·‖hp（M）之间的等价关系（2 ≤ p ≤ 4）.
In this paper, we discuss the inequalities of two-parameter noncommutative martingales. By using the inequalities of one-parameter noncommutative martingales methods, we obtain the relation between ‖·‖Hp(M) and ‖·‖hp(M) of two-parameter noncommutative martingales (2 ≤ p < ∞), which generalize the equivalence relation between ‖·‖Lp(M) and ‖·‖hp(M) of two-parameter noncommutative martingales (2 ≤ p ≤ 4)