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 < q < ∞), if and only if it satisfies a particular asymptotic mean value formula.
Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups / Fausto Ferrari; Andrea Pinamonti. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - STAMPA. - 43:1(2015), pp. 203-227. [10.1007/s11118-014-9430-9]
Characterization by Asymptotic Mean Formulas of q−Harmonic Functions in Carnot Groups
FERRARI, FAUSTO;
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 < q < ∞), if and only if it satisfies a particular asymptotic mean value formula.File in questo prodotto:
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