{
  "id": "1911.09954",
  "version": "v1",
  "published": "2019-11-22T10:04:36.000Z",
  "updated": "2019-11-22T10:04:36.000Z",
  "title": "On good-$λ$ inequalities for couples of measurable functions",
  "authors": [
    "Grigori A. Karagulyan"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We give a domination condition implying good-$\\lambda$ and exponential inequalities for couples of measurable functions. Those inequalities recover several classical and new estimations involving some operators in Harminic Analysis. Among other corollaries we prove a new exponential estimate for Carleson operators. The main results of the paper are considered in a general setting, namely, on abstract measure spaces equipped with a ball-basis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-22T10:04:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "42C10",
      "42C20"
    ],
    "keywords": [
      "measurable functions",
      "abstract measure spaces",
      "exponential inequalities",
      "exponential estimate",
      "carleson operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}