An efficient application of capacitary functions for compact subsets of the Royden harmonic boundary to an inverse inclusion problem concerning spaces of Dirichlet finite and mean bounded harmonic functions in the classification theory of Riemann surfaces is given.
"An application of capacitary functions to an inverse inclusion problem." Hiroshima Math. J. 41 (2) 223 - 233, 2011. https://doi.org/10.32917/hmj/1314204563