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 RN which are the Riesz-measures of bounded-above subharmonic functions in the whole space RN

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

Biagi S.
2021-01-01

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 RN which are the Riesz-measures of bounded-above subharmonic functions in the whole space RN
2021
Bounded-above subharmomnic functions
Green functions
Poisson-Jensen-type formulas
Potentials
Representation theorems for subharmonic functions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1183742
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