Aim of this paper is to extend the work (Ferrari et al. in Discrete Contin. Dyn. Syst. 34, 2779–2793, 2014) to the Carnot group setting. More precisely, we prove that in every Carnot group a function is q−harmonic (here 1 < ∞), if and only if it satisfies a particular asymptotic mean value formula.

Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups / Ferrari, Fausto; Pinamonti, Andrea. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 42:(2015), pp. 203-227. [10.1007/s11118-014-9430-9]

Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups

Pinamonti, Andrea
2015

Abstract

Aim of this paper is to extend the work (Ferrari et al. in Discrete Contin. Dyn. Syst. 34, 2779–2793, 2014) to the Carnot group setting. More precisely, we prove that in every Carnot group a function is q−harmonic (here 1 < ∞), if and only if it satisfies a particular asymptotic mean value formula.
Ferrari, Fausto; Pinamonti, Andrea
Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups / Ferrari, Fausto; Pinamonti, Andrea. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 42:(2015), pp. 203-227. [10.1007/s11118-014-9430-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/166066
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