Standard H-cones and balayage spaces

  • K. Janßen
IV Section — Potential Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1014)


In this paper we study the relations between standard H-cones (c.f.[2],[3] and [4]) and balayage spaces (c.f.[1]). It turns out, that a standard H-cone S is associated with a balayage space if and only if S can be represented on a Bauer-simplex (i.e. a Choquet-simplex for which the set of extreme points is closed).


Extreme Point Radon Measure Natural Topology Continuous Element Martin Boundary 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • K. Janßen
    • 1
  1. 1.Institut für Statistik und Dokumentation derUniversität DüsseldorfDüsseldorf 1Germany

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