A Riesz decomposition theorem on harmonic spaces without positive potentials
Bajunaid, I. ; Cohen, J. M. ; Colonna, F. ; Singman, D.
Hiroshima Math. J., Tome 38 (2008) no. 1, p. 37-50 / Harvested from Project Euclid
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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.
Publié le : 2008-03-15
Classification:  harmonic space,  superharmonic,  flux,  31D05,  31A05 
@article{1207580344,
     author = {Bajunaid, I. and Cohen, J. M. and Colonna, F. and Singman, D.},
     title = {A Riesz decomposition theorem on harmonic spaces without positive potentials},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 37-50},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1207580344}
}

Bajunaid, I.; Cohen, J. M.; Colonna, F.; Singman, D. A Riesz decomposition theorem on harmonic spaces without positive potentials. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  37-50. http://gdmltest.u-ga.fr/item/1207580344/