On the mixed multifractal formalism for vector-valued measures
DOI:
https://doi.org/10.22199/issn.0717-6279-4187Keywords:
Hausdorff dimension, packing dimension, multifractal analysisAbstract
The multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et al. in [29] and to suggest a new sufficient condition for a valid mixed multifractal formalism for vector-valued measures. We describe a necessary condition of validity for the formalism which is very close to the sufficient one.
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