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to the Kuramochi boundary.- On full-superharmonic functions.- Riemann surfaces with Martin and Kuramochi boundary points.- On Beurling's and Fatou's theorems.- On Kuramochi's paper "Potentials on Riemann surfaces".- A condition for each point of the Kuramochi boundary to be of harmonic measure zero.- Extremal length and Kuramochi boundary of a subregion of a Riemann surface.