Hausdorff Measure of Homogeneous Cantor Set

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2001 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Sinica, English Series, volume 17, pages 15-20 (issn: 1439-8516, eissn: 1439-7617,

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Authors: Qu, Cheng Qin; Rao, Hui; Su, Wei Yi;

doi: 10.1007/s101140000089 , 10.1007/pl00011583

Hausdorff Measure of Homogeneous Cantor Set

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Abstract

In this short note, the authors give an exact expression of the Hausdorff measure of a class of homogeneous Cantor sets refining the results of \textit{D. J. Feng}, \textit{H. Rao} and \textit{J. Wu} [Progr. Nat. Sci. 6, 673-678 (1996) (per bibl.)] and \textit{D. J. Feng}, \textit{Z. Y. Wen} and \textit{J. Wu} [Sci. China, Ser. A 40, No. 5, 475-482 (1997; Zbl 0881.28003)]. The proofs are based on the techniques of \textit{R. D. Mauldin} and \textit{S. C. Williams} [Mathematika 36, No. 2, 325-333 (1989; Zbl 0694.28005)].

Related Organizations

Wuhan University
China (People's Republic of)
Nanjing University
China (People's Republic of)
Sun Yat-sen University
China (People's Republic of)
Nanjing University
China (People's Republic of)
Zhongshan Hospital of Xiamen University
China (People's Republic of)

Keywords

Fractals, convexity, Hausdorff and packing measures, Moran sets, homogeneous Cantor sets, Hausdorff measure

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