zbMATH — the first resource for mathematics

Dirichlet integrals on standard H-cones. (English) Zbl 0634.31007
The purpose of this paper is to inroduce a notion of Dirichlet integral on a standard H-cone of functions. In the presence of the axiom D, the Dirichlet integrals is positive and if the H-cone is autodual the mutual Dirichlet integral of two bounded nearly continuous elements coincides with the bilinear form.

MSC:
 31D05 Axiomatic potential theory