A note on Hausdorff measures of Sierpiński carpets (Q2778247)
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scientific article; zbMATH DE number 1719560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Hausdorff measures of Sierpiński carpets |
scientific article; zbMATH DE number 1719560 |
Statements
5 January 2003
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Sierpiński carpets
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Hausdorff measures
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A note on Hausdorff measures of Sierpiński carpets (English)
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In this paper the Hausdorff measures of Sierpiński carpets are discussed. The definitions of generalized Sierpiński carpets and regular Sierpiński carpets are given. Estimates of Hausdorff measures of generalized Sierpiński carpets are obtained and it is shown that for each of the generalized Sierpiński carpets there exists a regular Sierpiński carpet such that they have the same Hausdorff measures.
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