How constructive is constructing measures?

Arno Pauly, Willem Fouché
2017 Journal of Logic and Analysis  
Given some set, how hard is it to construct a measure supported by it? We classify some variations of this task in the Weihrauch lattice. Particular attention is paid to Frostman measures on sets with positive Hausdorff dimension. As a side result, the Weihrauch degree of Hausdorff dimension itself is determined.
doi:10.4115/jla.2017.9.c3 fatcat:wgmpq5efb5fm5pp244plwnyzoe