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Some results about the regularities of multifractal measures

Bilel Selmi
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2018.06|한국수학논문집 (Korean Journal of Mathematics)|제26권 제2호|pp. 271-283

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참고문헌

키워드

regularitypacking measureHausdorff measureMultifractal measuresdensities.
주제분류수학

초록

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 \big(Proc. Indian Acad. Sci. (Math. Sci.) Vol. {\bf118}, (2008), pp. 273-279.\big). 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.

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 \big(Proc. Indian Acad. Sci. (Math. Sci.) Vol. {\bf118}, (2008), pp. 273-279.\big). 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.

참고문헌 (26)

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