Picard principle for finite densities

Abstract

A nonnegative locally Holder continuous function P(z) on 0<|z |≤1 will be referred to as a density on Ω 0 < |z | < 1 with singularity at δ : z = 0, removable or genuine. A density P on Ω is said to be finite if it is integrable over Ω :(1) ∫ Ω P(z)dxdy < ∞.