On the mixed multifractal densities and regularities with respect to gauges-Reference-Cited by-同舟云学术

On the mixed multifractal densities and regularities with respect to gauges

Published:2022 Issue:12 Volume:36 Page:4225-4239
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Ben Mabrouk¹,Menceur Mohamed²,Selmi Bilel³

Affiliation:

1. Laboratory of Algebra, Number Theory and Nonlinear Analysis, LRES, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir, Tunisia + Department of Mathematics, Higher Institute of Applied Mathematics and Computer Sciences, University of Kairouan, Kairouan, Tunisia + Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia

2. Department of Algebra and Number Theory, Faculty of Mathematics, University of Sciences and Technology Houari Boumediene, Algiers, Algeria

3. Laboratory of Analysis, Probability and Fractals, LRES, Department of Mathematics, Faculty of Sciences, University of Monastir, Monastir, Tunisia

Abstract

In this paper, we are concerned with some density estimations of vector-valued measures in the framework of the so-called mixed multifractal analysis. We precisely consider some Borel probability measures that are no longer Gibbs and introduce some mixed multifractal generalizations of densities in a framework of relative mixed multifractal analysis. Results on multifractal regularities are developed in the new framework.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference46 articles.

1. N. Attia and B. Selmi, Regularities of multifractal Hewitt-Stromberg measures, Commun. Korean Math. Soc. 34 (2019) 213-230.

2. N. Attia, B. Selmi and Ch. Souissi, Some density results of relative multifractal analysis, Chaos, Solitons and Fractals 103 (2017) 1-11.

3. A. Ben Mabrouk and A. Farhat, A mixed multifractal analysis for quasi-ahlfors vector-valued measures, Fractals 30 (2022) 2240001.

4. A. Ben Mabrouk and A. Farhat, Mixed multifractal densities for quasi-ahlfors vector-valued measures, Fractals 30 (2022) 2240003.

5. A. Ben Mabrouk, M. Ben Slimane and J. Aouidi, A wavelet multifractal fromalism for simultaneous singularities of functions. International Journal of Wavelets, Multiresolution and Information Processing 12 (2014) 14 pages.

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