On the mutual singularity of Hewitt–Stromberg measures for which the multifractal functions do not necessarily coincide

被引：0
|
作者：
Zied Douzi
Bilel Selmi
机构：
[1] University of Monastir,Analysis, Probability & Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir
来源：
Ricerche di Matematica | 2023年 / 72卷
关键词：
Multifractal analysis; Hewitt–Stromberg measures; Homogeneous Moran fractals; Homogeneous Moran measures; Singularity; 28A20; 28A75; 28A78; 28A80; 49Q15;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we attain the multifractal Hewitt–Stromberg dimension functions of Moran measures associated with homogeneous Moran fractals and show that the multifractal Hewitt–Stromberg measures are mutually singular for which the multifractal functions do not necessarily coincide. In particular, we give a positive answer to questions posed in Attia and Selmi (J Geom Anal 31:825-862, 2021) and discuss some interesting examples.
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页码：1 / 32
页数：31
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  • [1] On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide
    Douzi, Zied
    Selmi, Bilel
    [J]. RICERCHE DI MATEMATICA, 2023, 72 (01) : 1 - 32
  • [2] ON THE MUTUAL SINGULARITY OF HEWITT-STROMBERG MEASURES
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    Selmi, B.
    [J]. ANALYSIS MATHEMATICA, 2021, 47 (02) : 273 - 283
  • [3] On the Mutual Singularity of Hewitt-Stromberg Measures
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    B. Selmi
    [J]. Analysis Mathematica, 2021, 47 : 273 - 283
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    [J]. The Journal of Geometric Analysis, 2021, 31 : 825 - 862
  • [5] Correction: A Multifractal Formalism for Hewitt–Stromberg Measures
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    [J]. The Journal of Geometric Analysis, 2022, 32
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    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (01) : 825 - 862
  • [7] A Review on Multifractal Analysis of Hewitt–Stromberg Measures
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    [J]. The Journal of Geometric Analysis, 2022, 32
  • [8] REGULARITIES OF MULTIFRACTAL HEWITT-STROMBERG MEASURES
    Attia, Najmeddine
    Selmi, Bilel
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (01): : 213 - 230
  • [9] A Review on Multifractal Analysis of Hewitt-Stromberg Measures
    Selmi, Bilel
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (01)
  • [10] A NOTE ON THE MULTIFRACTAL HEWITT-STROMBERG MEASURES IN A PROBABILITY SPACE
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    [J]. KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (02): : 323 - 341
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