• Title of article

    Cantor sets and cyclicity in weighted Dirichlet spaces

  • Author/Authors

    El-Fallah، نويسنده , , O. and Kellay، نويسنده , , K. and Ransford، نويسنده , , T.، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2010
  • Pages
    9
  • From page
    565
  • To page
    573
  • Abstract
    We treat the problem of characterizing the cyclic vectors in the weighted Dirichlet spaces, extending some of our earlier results in the classical Dirichlet space. The absence of a Carleson-type formula for weighted Dirichlet integrals necessitates the introduction of new techniques.
  • Keywords
    Dirichlet space , Weight , Cyclic vector , ?-capacity , Cantor set
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2010
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1561353