• Title of article

    Differentiation in Star-Invariant Subspaces I. Boundedness and Compactness

  • Author/Authors

    Dyakonov، نويسنده , , Konstantin M.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    23
  • From page
    364
  • To page
    386
  • Abstract
    Given a discrete set Λ⊂C\R, let RΛp denote the subspace of Lp(R) generated by rational functions with poles in Λ. We determine for which Λʹs the differentiation operator d/dx:RΛp→Lp(R) is bounded or compact.
  • Keywords
    compactness. , Bernsteinיs inequality , star-invariant subspaces
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2002
  • Journal title
    Journal of Functional Analysis
  • Record number

    1550974