Multifractal analysis of a class of self-affine Moran sets

In the paper, we investigate the fine multifractal spectrum of a class of self-affine Moran sets with fixed frequencies, and we prove that under certain separation conditions, the fine multifractal spectrum $H(\alpha )$ is given by the formula $$H(\alpha )=\underset{-\mathrm{\infty }<t<+\mathrm{\infty }}{\inf }\{\alpha t+\beta (t)\}\mathrm{.}$$