{ "id": "2206.02822", "version": "v1", "published": "2022-06-06T18:01:12.000Z", "updated": "2022-06-06T18:01:12.000Z", "title": "Covariation inequality in Grand Lebesgue Spaces", "authors": [ "E. Ostrovsky", "L. Sirota" ], "categories": [ "math.PR" ], "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.", "revisions": [ { "version": "v1", "updated": "2022-06-06T18:01:12.000Z" } ], "analyses": { "keywords": [ "grand lebesgue spaces", "covariation inequality", "correspondent rearrangement invariant spaces", "exact estimate", "covariation berween" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }