A Multifractal Formalism for Hewitt-Stromberg Measures

被引：37
作者：
Attia, Najmeddine [1 ]
Selmi, Bilel [1 ]
机构：
[1] Univ Monastir, Fac Sci Monastir, Dept Math, Anal Probabil & Fractals Lab LR18ES17, Monastir 5000, Tunisia
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 01期
关键词：
Multifractal analysis; Multifractal formalism; Hewitt-Stromberg measures; Hausdorff dimension; Packing dimension; Moran measures; SINGULARITY SPECTRUM; PACKING MEASURES; GIBBS MEASURES; DIMENSION; HAUSDORFF; REGULARITIES; SETS;
D O I：
10.1007/s12220-019-00302-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we give a new multifractal formalism for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to Olsen's multifractal formalism which is based on the Hausdorff and packing measures.
引用
收藏
页码：825 / 862
页数：38
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