  The aim of this paper is to study the behavior of the multifractal
Hewitt-Stromberg dimension functions under projections in Euclidean space. As
an application, we study the multifractal analysis of the projections of a
measure. In particular, we obtain general results for the multifractal analysis
of the orthogonal projections on $m$-dimensional linear subspaces of a measure
$\mu$ satisfying the multifractal formalism which is based on the
Hewitt-Stromberg measures.
