A Multifractal Formalism for Hewitt-Stromberg Measures

In the present work, we give a new multifractal formalism for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to Olsen's multifractal formalism which is based on the Hausdorff and packing measures.

Automated summary

The present work introduces a new multifractal formalism based on Hewitt-Stromberg measures, which is parallel to Olsen's multifractal formalism using Hausdorff and packing measures, as the classical multifractal formalism does not apply.