On the mixed multifractal densities and regularities with respect to gauges

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.