On the mixed multifractal densities and regularities with respect to gauges

Bilel Selmi, Anouar Ben Mabrouk, Mohamed Menceur


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.


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