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The equivalence of measures on Moran set in general metric space

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  • Dai, Meifeng

Abstract

We investigate a class of Moran sets in general metric space. For the Moran sets satisfying the strong separation condition we mainly discuss the equivalence of the centered Hausdorff measure and the Packing measure. An actual example of fractal sets satisfying the above property is given.

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  • Dai, Meifeng, 2006. "The equivalence of measures on Moran set in general metric space," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 55-64.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:55-64
    DOI: 10.1016/j.chaos.2005.10.016
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    References listed on IDEAS

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    1. Dai, Meifeng & Tian, Lixin, 2005. "Exact Hausdorff centered measure of symmetry Cantor sets," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 313-323.
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    Cited by:

    1. Najmeddine Attia & Bilel Selmi, 2023. "On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets," Mathematics, MDPI, vol. 11(6), pages 1-14, March.
    2. Dai, Meifeng & Jiang, Ying, 2009. "Fractal dimension and measure of the subset of Moran set," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 190-196.
    3. Dai, Meifeng & Tian, Lixin, 2007. "Some properties for the intersection of Moran sets with their translates," Chaos, Solitons & Fractals, Elsevier, vol. 31(3), pages 757-764.
    4. Dai, Meifeng & Jiang, Ying, 2009. "The equivalence of multifractal measures on cookie-cutter-like sets," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1408-1415.

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