Abstract
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.
Citation
M. AL-QURASHI. V. ANANDAM. "Polysuperharmonic functions on a harmonic space." Hokkaido Math. J. 34 (2) 315 - 330, June 2005. https://doi.org/10.14492/hokmj/1285766225
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