An exact computation for mixed multifractal dimensions of sets and measures

Abstract

In the present work, we are concerned with the estimation of some mixed variants of multifractal dimension for a special class of measures characterized by a weak Ahlfors assumption by applying some mixed multifractal generalizations of Hausdorff and packing measures. The exact computation of such dimensions is shown to be valid for a class of Moran-type measures in some special cases.