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

Beatrice Abbondanza | Zendy; Stefano Biagi | Zendy

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

Author(s) -

Beatrice Abbondanza,

Stefano Biagi

Publication year - 2021

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2021101

Subject(s) - subharmonic , mathematics , bounded function , type (biology) , representation (politics) , space (punctuation) , subharmonic function , pure mathematics , mathematical analysis , physics , linguistics , ecology , philosophy , quantum mechanics , nonlinear system , politics , political science , law , biology

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 \begin{document}$ \mathbb{R}^N $\end{document} which are the Riesz-measures of bounded-above subharmonic functions in the whole space \begin{document}$ \mathbb{R}^N $\end{document} .

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