{
  "id": "1409.2143",
  "version": "v1",
  "published": "2014-09-07T17:27:43.000Z",
  "updated": "2014-09-07T17:27:43.000Z",
  "title": "Interpolatory Estimates, Riesz Transforms and Wavelet Projections",
  "authors": [
    "Paul F. X. Müller",
    "Stefan Mueller"
  ],
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "We prove that directional wavelet projections and Riesz transforms are related by interpolatory estimates. The exponents of interpolation depend on the H\\\"older estimates of the wavelet system. This paper complements and continues previous work on Haar projections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-07T17:27:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B15",
      "42C40",
      "46B70"
    ],
    "keywords": [
      "riesz transforms",
      "interpolatory estimates",
      "directional wavelet projections",
      "haar projections",
      "paper complements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2143M"
    }
  }
}