Hyperharmonic Cones

Sirkka-Liisa Eriksson-Bique
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Sirkka-Liisa Eriksson-Bique: University of Joensuu, Department of Mathematics

A chapter in Potential Theory, 1988, pp 85-95 from Springer

Abstract: Abstract The theory of H-cones ([3]) covers the superharmonic case in potential theory. This work continues the algebraic axiomatization of the hyperharmonic case. Our basic structure is a hyperharmonic structure defined by M. Arsove and H. Leutwiler in [1]. The cancellation law does not hold in hyperharmonic structures. In order to characterize cancellable elements we assume that a hyperharmonic structure is a convex cone and the greatest lower bound of (u/n) nεℕ exists for all u.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_12

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DOI: 10.1007/978-1-4613-0981-9_12

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