On the existence of various bounded harmonic functions with given periods, II
Masaru Hara · Nagoya Mathematical Journal · 1975
Given a harmonic function u on a Riemann surface R, we define a period function for every one-dimensional cycle γ of the Riemann surface R. Γx(R) denote the totality of period functions Γu such that harmonic functions u satisfy a boundedness property X. As for X, we let B stand for boundedness, and D for the finiteness of the Dirichlet integral.