| 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‖·‖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）. |
| 关键词: von Neumann代数 双指标鞅 Burkholder不等式 鞅Hardy空间 |
| DOI： |
| 分类号:O177.5 |
| 基金项目:国家自然科学基金资助（11271293；11471251）. |
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| INEQUALITIES OF TWO-PARAMETER NONCOMMUTATIVE MARTINGALES |
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YIN Di, MA Cong-bian
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| 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). |
| Key words: von Neumann algebra two-parameter martingales Burkholder inequalities martingale Hardy spaces |
