A Multifractal Formalism for Hewitt–Stromberg Measures

被引：0
|
作者：
Najmeddine Attia
Bilel Selmi
机构：
[1] University of Monastir,Analysis, Probability and Fractals Laboratory LR18ES17 Department of Mathematics, Faculty of Sciences of Monastir
来源：
The Journal of Geometric Analysis | 2021年 / 31卷
关键词：
Multifractal analysis; Multifractal formalism; Hewitt–Stromberg measures; Hausdorff dimension; Packing dimension; Moran measures; 28A78; 28A80;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：825 / 862
页数：37
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