{
  "id": "0910.3867",
  "version": "v1",
  "published": "2009-10-20T15:04:31.000Z",
  "updated": "2009-10-20T15:04:31.000Z",
  "title": "Greedy bases for Besov spaces",
  "authors": [
    "S. J. Dilworth",
    "D. Freeman",
    "E. Odell",
    "Th. Schlumprecht"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove thatthe Banach space $(\\oplus_{n=1}^\\infty \\ell_p^n)_{\\ell_q}$, which is isomorphic to certain Besov spaces, has a greedy basis whenever $1\\leq p \\leq\\infty$ and $1<q<\\infty$. Furthermore, the Banach spaces $(\\oplus_{n=1}^\\infty \\ell_p^n)_{\\ell_1}$, with $1<p\\le \\infty$, and $(\\oplus_{n=1}^\\infty \\ell_p^n)_{c_0}$, with $1\\le p<\\infty$ do not have a greedy bases. We prove as well that the space $(\\oplus_{n=1}^\\infty \\ell_p^n)_{\\ell_q}$ has a 1-greedy basis if and only if $1\\leq p=q\\le \\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-20T15:04:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46B15",
      "41A65"
    ],
    "keywords": [
      "besov spaces",
      "greedy bases",
      "thatthe banach space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.3867D"
    }
  }
}