Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SOME RESULTS ABOUT THE REGULARITIES OF MULTIFRACTAL MEASURES

  • Selmi, Bilel (Department of Mathematics Faculty of Sciences of Monastir University of Monastir)
  • Received : 2018.03.06
  • Accepted : 2018.04.09
  • Published : 2018.06.30
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Abstract

In this paper, we generelize the Olsen's density theorem to any measurable set, allowing us to extend the main results of H.K. Baek in (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 118, (2008), pp. 273-279.). In particular, we tried through these results to improve the decomposition theorem of Besicovitch's type for the regularities of multifractal Hausdorff measure and packing measure.

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References

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