AL-QURASHI M., ANANDAM V.,
Polysuperharmonic functions on a harmonic space.
Hokkaido Mathematical Journal, 34 (2005) pp.315-330
In the context of the axiomatic potential theory, we introduce the notions of polyharmonic functions and polypotentials on a Brelot harmonic space $\Omega$. For these functions,we prove some results analogous to the Riesz decomposition, balayage, domination principle, etc., which are usually associated with harmonic and superharmonic functions on $\Omega$. We also consider the polyharmonic classifications of the harmonic spaces.
|Uncontrolled Keywords||m-harmonic functions, m-potential domains|