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
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