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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/18110

Title: A Riesz decomposition theorem on harmonic spaces without positive potentials., 38 (2008),
Authors: Bajunaid, Ibtesam.
Singman, David.
Cohen, Joel.
Colonna, Flavia.
Keywords: harmonic space, superharmonic, flux.
Issue Date: 2008
Publisher: Hiroshima Mathematical journal
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.
URI: http://hdl.handle.net/123456789/18110
ISSN: 0018-2079
Appears in Collections:College of Science

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