Download The Fundamental Convergence Theorem and the Reduction Operation

Queue processing for download document Theorem. Let Γ: {uα, α ∈ I} be a family of superharmonic functions defined on an open subset of ℝN, locally uniformly bounded below, and define the lower envelope u by u(ξ) = inf α ∈ Iuα(ξ). Then OC (M, p) u ≤ u, $$ \mathop{u}\limits_{ + } (\zeta ) = \mat