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On the Lower Bound of the Hausdorff Measure of the Koch Curve

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Abstract

This paper gives a lower bound of the Hausdorff measure of the Koch curve by means of the mass distribution principle.

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References

  1. Falconer, K. J.: Fractal Geometry–Mathematical Foundations and Applications, John and Sons, New York, 1990

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Authors and Affiliations

  1. Mathematics Department, Zhaoqing University, Zhaoqing, 526061, P. R. China

    Zhi Wei Zhu

  2. Lingnan College, Zhongshan University, Guangzhou, 510275, P. R. China

    Zuo Ling Zhou

  3. Mathematics and Scientific Computer College, Zhongshan University, Guangzhou, 510275, P. R. China

    Bao Guo Jia

Authors
  1. Zhi Wei Zhu
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  2. Zuo Ling Zhou
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  3. Bao Guo Jia
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Corresponding author

Correspondence to Zhi Wei Zhu.

Additional information

Project supported by the foundations of the National Natural Science Committee (10171116; 10041005), the National Education Ministry (1999055810), Natural Science Committee of Guangdong Province and Advanced Research Center of Zhongshan University (01M2)

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Zhu, Z.W., Zhou, Z.L. & Jia, B.G. On the Lower Bound of the Hausdorff Measure of the Koch Curve. Acta Math Sinica 19, 715–728 (2003). https://doi.org/10.1007/s10114-003-0310-2

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  • DOI: https://doi.org/10.1007/s10114-003-0310-2

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