• Title of article

    Exact packing measure of central Cantor sets in the line

  • Author/Authors

    Garcia، نويسنده , , Ignacio and Zuberman، نويسنده , , Leandro، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2012
  • Pages
    12
  • From page
    801
  • To page
    812
  • Abstract
    In this paper we consider a class of symmetric Cantor sets in R . Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density.
  • Keywords
    Upper and lower density , Hausdorff measure , Cantor set , Packing measure
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2012
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1562371