| Hausdorff centered measure of certain linear Cantor sets |
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| 引用本文： | PENG Li,*,and WU Min,.Hausdorff centered measure of certain linear Cantor sets[J].自然科学进展(英文版),2005(4). |
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| 作者姓名： | PENG Li * and WU Min |
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| 作者单位： | 1. Department of Mathematics，Hubei University，Wuhan 430062，China; 2. Department of Applied Mathematics，South China University of Technology，Guangzhou 510640，China |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .10 1710 2 8)andMorningsideCenterofMathematics |
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| 摘 要： | Thenotionofpackingmeasure ,introducedinRefs.1— 3],hasbeenusedincomparisonwithHausdorffmeasuretostudytheregularityandrectifi abilityofsetsintheplane4 ] .TheHausdorffmeasureisdefinedusingeconomicalcoversofaset,whilethepackingmeasureisdefinedviapackingwithdisjointballscenteredinthegivenset (formoredetailsseeRefs .5— 7]) .Asasymmetryofthepackingmea sure ,theHausdorffcenteredmeasure ,definedbythecoverswithballscenteredinthegivenset,wasintro ducedinRef .4 ].RaymondandTricot8] verifiedthatt…
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