中文摘要：

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k￠kHp(M)和k￠khp(M)之间的关系(2·p<1).推广了双指标非交换鞅的k￠kLp(M)和k￠khp(M)之间的等价关系(2<=p<=4).

英文摘要：

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 k￠kHp(M)and k￠khp(M)of two-parameter noncommutative martingales(2·p<1),which generalize the equivalence relation between k￠kLp(M)and k￠khp(M)of two-parameter noncommutative martingales(2<=p<=4).