{
  "id": "2312.05088",
  "version": "v1",
  "published": "2023-12-08T15:16:24.000Z",
  "updated": "2023-12-08T15:16:24.000Z",
  "title": "Commutator estimates for vector fields on Besov spaces with variable smoothness and integrability",
  "authors": [
    "Salah BenMahmoud"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we present certain bilinear estimates for commutators on Besov spaces with variable smoothness and integrability, and under no vanishing assumptions on the divergence of vector fields. Such commutator estimates are motivated by the study of well-posedness results for some models in incompressible fluid mechanics",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-08T15:16:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35",
      "42B37"
    ],
    "keywords": [
      "besov spaces",
      "commutator estimates",
      "vector fields",
      "variable smoothness",
      "integrability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}