{
  "id": "1707.09710",
  "version": "v1",
  "published": "2017-07-31T03:39:39.000Z",
  "updated": "2017-07-31T03:39:39.000Z",
  "title": "Pseudo-differential operators with symbols in the Hörmander class $S^0_{α,α}$ on $α$-modulation spaces",
  "authors": [
    "Tomoya Kato",
    "Naohito Tomita"
  ],
  "comment": "12 pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "In this paper, we study the boundedness of pseudo-differential operators with symbols in the H\\\"ormander class $S^0_{\\rho,\\rho}$ on $\\alpha$-modulation spaces $M_{p,q}^{s,\\alpha}$, and consider the relation between $\\alpha$ and $\\rho$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-31T03:39:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35S05",
      "42B35"
    ],
    "keywords": [
      "pseudo-differential operators",
      "modulation spaces",
      "hörmander class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}