Doob不等式、Burkholder-Gundy不等式和鞅局部Morrey空间上的鞅变换

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-11-05 DOI:10.1007/s10474-024-01485-0

K. -P. Ho

引用次数: 0

摘要

引入鞅局部Morrey空间。建立了Doob不等式、Burkholder-Gundy不等式以及鞅变换在完全概率空间上的鞅局部Morrey空间的有界性。

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Doob's inequality, Burkholder–Gundy inequality and martingale transforms on martingale local Morrey spaces

We introduce the martingale local Morrey spaces. We establish the Doob's inequality, the Burkholder–Gundy inequality and the boundedness of the martingale transforms to martingale local Morrey spaces defined on complete probability spaces.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.