SOME PROPERTIES OF A CLASS OF DELTA m - SUBHARMONIC FUNCTIONS

Abstract

In this paper, we introduce a class of weighted energy in the class of m-subharmonic functions 𝛿𝒲ₘ,𝜒(Ω). We also shown that this class is convex cone, stable under maximum and 𝛿𝒲ₘ,𝜒(Ω) ⊂ 𝛿ℱₘ,𝜒(Ω). Finally, we present a relationship between 𝛿ℱₘ,𝜒(Ω) and the classes 𝛿𝒲ₘ,𝜒ₖ(Ω) with 𝑘 = 1,…,𝑚.