A Riesz decomposition theorem on harmonic spaces without positive potentials

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概要

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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.

• 広島大学の論文

著者

• Flavia Colonna

  Dept Of Mathematical Sciences George Mason University 4400 University Dr.fairfax Va 22030 U.s.a

• Ibtesam Bajunaie

  P.O.Box 60618,Riyadh11555 Kingdom of Saudi Arabia

• Joel M.

  Dept of Math University of Maryland College Park,Maryland 20742-4015 U.S.A

• Ibtesam Bajunaie

  P.o.box 60618 Riyadh11555 Kingdom Of Saudi Arabia

• Joel M.

  Dept Of Math University Of Maryland College Park Maryland 20742-4015 U.s.a

関連論文

• A Riesz decomposition theorem on harmonic spaces without positive potentials

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