• Title of article

    Riesz Transforms and Lie Groups of Polynomial Growth

  • Author/Authors

    ter Elst، نويسنده , , A.F.M. and Robinson، نويسنده , , Derek W. and Sikora، نويسنده , , Adam، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    38
  • From page
    14
  • To page
    51
  • Abstract
    LetGbe a Lie group of polynomial growth. We prove that the second-order Riesz transforms onL2(G; dg) are bounded if, and only if, the group is a direct product of a compact group and a nilpotent group, in which case the transforms of all orders are bounded.
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    1999
  • Journal title
    Journal of Functional Analysis
  • Record number

    1549183