Exploration of potential theory in m-convex functions reveals properties of m-cv measures and Hessians.
In this work we will give the very initial concepts of potential theory (m-cv polar sets, m-cv measures and their properties) in the class of m-convex (m-cv) functions in the domain D ? Rnx. In particular, we will prove that for a m ? cv measure ?*(x, E,D) its Hessian Hn?m+1,?* = 0 in the domain D.
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Sadullaev et al. (2025) studied this question.
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