Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure
Résumé
In this paper we consider weighted boundary behaviour of $\mm$-harmonic functions on the unit ball of $\C^n$. In particular, we show that a measure on the unit sphere of $\C^n$ admits a component along the non-isotropic Hausdorff measure on that sphere and that this component gives rise to certain weighted boundary behaviour of the $\mathcal{M}$-harmonic extension of the original measure.