• Title of article

    The Multiplication Operator in Sobolev Spaces with Respect to Measures Original Research Article

  • Author/Authors

    José M Rodr??guez، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    41
  • From page
    157
  • To page
    197
  • Abstract
    We consider the multiplication operator, M, in Sobolev spaces with respect to general measures and give a characterization for M to be bounded, in terms of sequentially dominated measures. This has important consequences for the asymptotic behaviour of Sobolev orthogonal polynomials. Also, we study properties of Sobolev spaces with respect to measures.
  • Keywords
    * Sobolev spaces , * weights , * orthogonal polynomials
  • Journal title
    Journal of Approximation Theory
  • Serial Year
    2001
  • Journal title
    Journal of Approximation Theory
  • Record number

    851903