Abstract
In this paper, we give a new definition of the flux of a superharmonic function defined outside a compact set in a Brelot space without positive potentials. We also give a new notion of potential in a BS space (that is, a harmonic space without positive potentials containing the constants) which leads to a Riesz decomposition theorem for the class of superharmonic functions that have a harmonic minorant outside a compact set. Furthermore, we give a characterization of the local axiom of proportionality in terms of a global condition on the space.
Citation
I. Bajunaid. J. M. Cohen. F. Colonna. D. Singman. "A Riesz decomposition theorem on harmonic spaces without positive potentials." Hiroshima Math. J. 38 (1) 37 - 50, March 2008. https://doi.org/10.32917/hmj/1207580344
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