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
Link To Document :
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