Abstract
If Г is a class of extended real-valued functions on a set D, a function υ on D will be called a majorant [minorant] of Г if \( \upsilon u\left[ {\upsilon u} \right] \) for every u in Г. If D is an open subset of ℝ N , the least superharmonic majorant [greatest subharmonic minorant] of Г, if such a function exists, will be denoted by LM D Г [GM D Г], or by LM D u [GM D u] if Г = {u} is a singleton.
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© 1984 Springer-Verlag New York Inc.
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Doob, J.L. (1984). Infima of Families of Superharmonic Functions. 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_3
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DOI: https://doi.org/10.1007/978-1-4612-5208-5_3
Publisher Name: Springer, New York, NY
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