An exact computation for mixed multifractal dimensions of sets and measures

被引：0

作者：

Arfaoui, Sabrine ^{[1
,2
]}

Ben Mabrouk, Anouar ^{[1
,2
,3
,4
]}

机构：

[1] Univ Monastir, Fac Sci, Dept Math, LR18ES15,Lab Algebra Number Theory & Nonlinear Ana, Ave Environm, Monastir 5000, Tunisia

[2] Univ Jendouba, Higher Inst Comp Sci Elkef, Dept Comp Sci, Rue Saleh Ayech, Kef 7100, Tunisia

[3] Univ Kairouan, Higher Inst Appl Math & Comp Sci, Dept Math, St Assad Ibn Alfourat, Kairouan 3100, Tunisia

[4] Univ Tabuk, Fac Sci, Dept Math, King Faisal Rd, Tabuk 71491, Saudi Arabia

来源：

FILOMAT | 2023年 / 37卷 / 23期

关键词：

Hausdorff and packing measures; Hausdorff and packing dimensions; Mixed cases; Multifractal exact dimension; Moran sets and measures; EQUIVALENCE; HAUSDORFF;

D O I：

10.2298/FIL2323761A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we are concerned with the estimation of some mixed variants of multifractal dimensions for a special class of measures characterized by a weak Ahlfors assumption applying mixed multifractal generalizations of Hausdorff and packing measures. Exact computation of such dimensions is shown to be valid for a class of Moran-type measures in some special cases.

引用

页码：7761 / 7769

页数：9

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