Revistes Catalanes amb Accés Obert (RACO)

Two remarks on Riemann surfaces

J. M. Rodríguez


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 of Green's function on Riemann surfaces.

Text complet: PDF