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A-measure analytic functions analytic sets Assume Cegrell choose Choquet clear closed measure compact sets compact subset completes the proof Complex Analysis continuous functions convex ddccp)n ddclog+|z ddcu ddcvn ddcvn+1 decreasing sequence define Definition denote denumerable Extremal plurisubharmonic functions F set function cp Furthermore h d6 Hausdorff space Hence holomorphic K-analytic Lebesgue measure Lemma III:3 Lemma XI:1 lim cp lim f log+|z|ddcu lower semicontinuous Math measure on 3B Monge-Ampere operator Notes and references numbers open sets open subset outer regular p-capacitable plurisubharmonic functions Poisson kernel Polish space positive measure proof of Theorem Proposition proves the theorem quasicontinuous remains to prove Section sequence f sequence of compact strictly pseudoconvex strongly subadditive subadditive subharmonic function sup cp sup g sup u(E tfzGB tfzGft Theorem V:5 Theorem XI:6 uGMJ unit ball upper semi-continuous yGMJ zero zGfi