Riesz-type representation formulas for subharmonic functions in sub-Riemannian settings

Abstract

In this paper we use a potential-theoretic approach to establish various representation theorems and Poisson-Jensen-type formulas for subharmonic functions in sub-Riemannian settings. We also characterize the Radon measures in R N which are the Riesz-measures of bounded-above subharmonic functions in the whole space R N .