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A Decomposition Theorem for Positive Superharmonic Functions
Published online by Cambridge University Press: 20 November 2018
Abstract
Let X be a harmonic space in the sense of C. Constantinescu and A. Cornea. We show that, for any subset E of X, a positive superharmonic function u on X has a representation u = p + h, where p is the greatest specific minorant of u satisfying . This result is a generalization of a theorem of M. Brelot. We also state some characterizations of extremal superharmonic functions.
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- Copyright © Canadian Mathematical Society 1990