{
  "id": "2412.08566",
  "version": "v2",
  "published": "2024-12-11T17:32:56.000Z",
  "updated": "2024-12-17T11:54:22.000Z",
  "title": "Weighted estimates for Schrödinger--Calderón--Zygmund operators with exponential decay",
  "authors": [
    "Estefanía Dalmasso",
    "Gabriela R. Lezama",
    "Marisa Toschi"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work we obtain weighted boundedness results for singular integral operators with kernels exhibiting exponential decay. We also show that the classes of weights are characterized by a suitable maximal operator. Additionally, we study the boundedness of various operators associated with the generalized Schr\\\"odinger operator $-\\Delta + \\mu$, where $\\mu$ is a nonnegative Radon measure in $\\mathbb{R}^d$, for $d\\geq 3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-12-17T11:54:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B20",
      "42B25",
      "42B35",
      "35J10"
    ],
    "keywords": [
      "schrödinger-calderón-zygmund operators",
      "weighted estimates",
      "singular integral operators",
      "kernels exhibiting exponential decay",
      "suitable maximal operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}