论文标题
涉及乘法混乱总和的尖锐不平等
Sharp inequalities involving multiplicative chaos sums
论文作者
论文摘要
本说明是作者的Arxiv论文Arxiv：2001.01070的重要补充，关于随机变量的一般乘法系统。使用一些引理和\ cite {kar4}的方法，我们获得了一般的极端不平等，带有涉及rademacher混乱和的推论和乘法系统的类似物。特别是我们证明，由乘法系统的有限产物产生的功能系统是收敛系统。
The present note is an essential addition to the author's arxiv paper arXiv:2001.01070, concerning general multiplicative systems of random variables. Using some lemmas and the methodology of \cite{Kar4}, we obtain a general extreme 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.
