The roles of sets of nondensity points

Research paper by Moses Glasner, Mitsuru Nakai

Indexed on: 01 Mar '80Published on: 01 Mar '80Published in: Israel Journal of Mathematics


A Riemann surfaceR and a nonnegative locally Hölder continuous 2-formP onR are constructed such that the nondensity points and the Green's energy nondensity points on the Royden harmonic boundary coincide yet the space of bounded energy finite solutions ofd*du=uP onR is properly contained in the space of bounded Dirichlet finite solutions.