English

Covariation inequality in Grand Lebesgue Spaces

Probability 2022-06-08 v1

Abstract

We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem with fundamental function for correspondent rearrangement invariant spaces.

Keywords

Cite

@article{arxiv.2206.02822,
  title  = {Covariation inequality in Grand Lebesgue Spaces},
  author = {E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:2206.02822},
  year   = {2022}
}