BMO鞅的尖锐极大估计

Pub Date : 2015-10-01 DOI:10.18910/57684

A. Osȩkowski

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引用次数: 11

摘要

介绍了一种研究有界平均振荡鞅的极大不等式的方法。作为应用，我们建立了BMO鞅的单侧极大函数的尖锐Φ-inequalities不等式和尾部不等式。结果可以看作是经典的Doob最大估计的BMO对应。

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Sharp maximal estimates for BMO martingales

We introduce a method which can be used to study maximal inequalities for martingales of bounded mean oscillation. As an application, we establish sharp Φ-inequalities and tail inequalities for the one-sided maximal function of a BMO martingale. The results can be regarded as BMO counterparts of the classical maximal estimates of Doob.

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