{"title":"Sharp inequalities involving multiplicative chaos sums","authors":"G.A. Karagulyan","doi":"10.1007/s10474-024-01451-w","DOIUrl":null,"url":null,"abstract":"<div><p>The present note is an addition to the author’s recent paper\n[44], concerning general multiplicative systems of random variables. Using some\nlemmas and the methodology of [13], we obtain a general extremal inequality,\nwith corollaries involving Rademacher chaos sums and those analogues for multiplicative\nsystems. In particular we prove that a system of functions generated by\nbounded products of a multiplicative system is a convergence system.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"340 - 351"},"PeriodicalIF":0.6000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01451-w","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.
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