{
  "id": "math/9604229",
  "version": "v1",
  "published": "1996-04-29T00:00:00.000Z",
  "updated": "1996-04-29T00:00:00.000Z",
  "title": "Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts",
  "authors": [
    "Cristina Pereyra",
    "Lesley Ward"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We analyze the stability of Muckenhoupt's $\\RHp$ and $\\Ap$ classes of weights under a nonlinear operation, the $\\lb$-operation. We prove that the dyadic doubling reverse H\\\"older classes $\\RHp$ are not preserved under the $\\lb$-operation, but the dyadic doubling $A_p$ classes $\\Ap$ are preserved for $0<\\lb <1$. We give an application to the structure of resolvent sets of dyadic paraproduct operators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-04-29T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "muckenhoupt weights",
      "paraexponentials",
      "dyadic paraproduct operators",
      "dyadic doubling reverse",
      "nonlinear operation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......4229P"
    }
  }
}