A multifractal formalism for Hewitt-Stromberg measures (Q2659021)

In this very interesting and well-written paper, the authors give a new multifractal formalism for which the classical multifractal formalism does not hold. They precisely introduce and study a multifractal formalism based on the Hewitt-Stromberg measures and that this formalism is completely parallel to \textit{L. Olsen}'s multifractal formalism in [Adv. Math. 116, No. 1, 82-196. (1995; Zbl 0841.28012)] which is based on the Hausdorff and packing measures. The authors also construct many interesting examples related to these concepts and open problems of multifractal analysis.