%0 Journal Article
%T 双指标非交换鞅的一些不等式<br>INEQUALITIES OF TWO-PARAMETER NONCOMMUTATIVE MARTINGALES
%A 作者
%A 尹磾
%A 马聪变
%J 数学杂志
%D 2017
%X 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）.<br>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)
%K von Neumann代数 双指标鞅 Burkholder不等式 鞅Hardy空间&lt
%K br&gt
%K von Neumann algebra two-parameter martingales Burkholder inequalities martingale Hardy spaces
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170422&flag=1