Abstract
Theorem. Let Г: \( \left\{ {{{u}_{\alpha }},\alpha \in I} \right\} \) 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\( _{{\alpha \in I}}{{u}_{\alpha }}(\xi ) \).
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© 1984 Springer-Verlag New York Inc.
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Doob, J.L. (1984). The Fundamental Convergence Theorem and the Reduction Operation. In: Classical Potential Theory and Its Probabilistic Counterpart. Grundlehren der mathematischen Wissenschaften, vol 262. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5208-5_6
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DOI: https://doi.org/10.1007/978-1-4612-5208-5_6
Publisher Name: Springer, New York, NY
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