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http://dx.doi.org/10.11568/kjm.2018.26.2.271

SOME RESULTS ABOUT THE REGULARITIES OF MULTIFRACTAL MEASURES  

Selmi, Bilel (Department of Mathematics Faculty of Sciences of Monastir University of Monastir)
Publication Information
Korean Journal of Mathematics / v.26, no.2, 2018 , pp. 271-283 More about this Journal
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.
Keywords
Multifractal measures; Hausdorff measure; packing measure; regularity; densities;
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