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摘要: |
本文讨论了拟鞅的Fefferman不等式和Hardy空间的对偶空间. 利用鞅的相关结果和Doob分解的方法, 把鞅的Fefferman不等式推广到拟鞅情形, 并描述了拟鞅的Hardy空间Ĥp在1 < p < ∞)时的对偶空间. |
关键词: 拟鞅 Hardy空间 对偶空间 范数 |
DOI: |
分类号:O211.4 |
基金项目: |
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THE FEFFERMAN INEQUALITY AND DUAL THEOREM FOR QUASI-MARTINGALES |
LIU Hui-fang,ZHU Yao-sheng
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Abstract: |
In this paper, the Fefferman inequality and dual theorem for quasi-martingales are studied. By using the correspond results for martingales and the Doob's decomposition, the Fefferman inequality for martingales is extended to the quasi-martingale setting and the dual space of quasi-martingale Hardy space Ĥp(1 < p < ∞) is described. |
Key words: quasi-martingale Hardy space dual space norm |