NOTE ON THE MULTIFRACTAL MEASURES OF CARTESIAN PRODUCT SETS

被引：2
|
作者：
Attia, Najmeddine [1 ]
Guedri, Rihab [1 ]
Guizani, Omrane [1 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5000, Tunisia
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 04期
关键词：
Multifractal Hausdorff measure; multifractal packing measure; product sets; PACKING MEASURE; HAUSDORFF; DIMENSION; REGULARITIES; EXISTENCE; SUBSETS;
D O I：
10.4134/CKMS.c210350
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall be concerned with evaluation of multifractal Hausdorff measure H-mu(q,t) and multifractal packing measure P-q,P-t (mu) of Cartesian product sets by means of the measure of their components. This is done by investigating the density result introduced in [34]. As a consequence, we get the inequalities related to the multifractal dimension functions, proved in [35], 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.
引用
收藏
页码：1073 / 1097
页数：25
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