Title of article
Two examples on atomic doubling measures
Author/Authors
Manli Lou، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
8
From page
1111
To page
1118
Abstract
It is shown that there is a compact set X ⊂ [0, 1] with dimH X = 1 on which all doubling measures are
purely atomic. It is also shown that there is a compact set X ⊂ [0, 1] with a dense set of isolated points and
dimH X = 0 on which no doubling measures are purely atomic.
© 2006 Elsevier Inc. All rights reserved
Keywords
Doubling measure , Doubling space , Hausdorff dimension , Cantor set
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936044
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