H-cone

Summary

An H-cone is an ordered convex cone whose axioms abstract the properties of the cone of positive superharmonic functions on a domain. The theory of H-cones was developed by Nicu Boboc, Gheorghe Bucur and Aurel Cornea. It treats potential theory as the study of an ordered cone, with no underlying space of points given in advance. Under further conditions an H-cone can be represented as a cone of functions on a suitable space.