We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces.
We also study the relationship between growth conditions of length of spheres and the existence and the existence of Green's function on Riemann surfaces.
@article{urn:eudml:doc:41175, title = {Two remarks on Riemann surfaces.}, journal = {Publicacions Matem\`atiques}, volume = {38}, year = {1994}, pages = {463-477}, mrnumber = {MR1316641}, zbl = {0829.30027}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41175} }
Rodriguez, José M. Two remarks on Riemann surfaces.. Publicacions Matemàtiques, Tome 38 (1994) pp. 463-477. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41175/