  We introduce Riesz potentials for non-Lebesgue measurable functions by taking
the integrals in the sense of Choquet with respect to Hausdorff content and
prove boundedness results for these operators. Some earlier results are
recovered or extended now using integrals taken in the sense of Choquet with
respect to Hausdorff content. Some earlier results also for maximal operators
are considered, but now for non-measurable functions.
