涉及乘法混沌和的锐不等式

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-08-06 DOI:10.1007/s10474-024-01451-w

G.A. Karagulyan

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引用次数: 0

摘要

本说明是对作者最近关于一般随机变量乘法系统的论文[44]的补充。利用[13]中的一些问题和方法，我们得到了一个一般极值不等式，以及涉及拉德马赫混沌和的推论和乘法系统的类似推论。特别是，我们证明了由乘法系统的有界乘积生成的函数系统是一个收敛系统。

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Sharp inequalities involving multiplicative chaos sums

The present note is an addition to the author’s recent paper [44], concerning general multiplicative systems of random variables. Using some lemmas and the methodology of [13], we obtain a general extremal inequality, with corollaries involving Rademacher chaos sums and those analogues for multiplicative systems. In particular we prove that a system of functions generated by bounded products of a multiplicative system is a convergence system.

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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.