拟鞅的Fefferman不等式和对偶定理

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bHp在1<∞时的对偶空间。%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 bHp (1<∞) is described.