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arXiv · 2212.05431

Sharp inequalities involving multiplicative chaos sums

Grigori A. Karagulyan
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Abstract

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.

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BibTeXRIS

Grigori A. Karagulyan. 2022-12-11. Sharp inequalities involving multiplicative chaos sums. https://doi.org/10.1007/s10474-024-01451-w

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