On the equivalence of multifractal measures on Moran sets

Abstract

In this paper, the equivalence of the multifractal centered
Hausdorff measure and the multifractal packing measure is
investigated. Furthermore, for the Moran sets satisfying the strong
separation condition, the equivalence of the mutual multifractal
Hausdorff and packing measures is discussed. A concrete example of
fractal sets satisfying the above property is developed.