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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.10
- 수록면
- 1,073 - 1,097 (25page)
- DOI
- 10.4134/CKMS.c210350
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초록· 키워드
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In this paper, we shall be concerned with evaluation of multifractal Hausdorff measure $\HH^{q,t}_\mu$ and multifractal packing measure $\PP^{q,t}_\mu$ of Cartesian product sets by means of the measure of their components. This is done by investigating the density result introduced in \cite{Olsen95}. As a consequence, we get the inequalities related to the multifractal dimension functions, proved in \cite{Olsen96}, by using a unified method for all the inequalities. Finally, we discuss the extension of our approach to studying the multifractal Hewitt-Stromberg measures of Cartesian product sets.
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