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The Hausdorff measure of a kind of generalized Cantor sets. (Chinese. English summary) Zbl 1066.28002
Summary: This paper offers a necessary and sufficient condition for \(H^S(E)=1\) where \(H^S(E)\) is the Hausdorff measure of a kind of generalized Cantor sets produced by the IFS \(S_i(x)=a_ix+b_i\), \(i=1,2, \dots,m\).
MSC:
28A80 Fractals
28A78 Hausdorff and packing measures
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