BMO鞅的尖锐极大估计

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics 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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.