Geodesic
Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 309-316

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On the boundary of the complex $n$-ball, there are two a natural notions of Hausdorff dimension, namely, those related to the Euclidean and the Koranyi metric. It is shown that “Riesz decompositions” relative to these two dimension scales are linked rigidly for the measures that are boundary values of pluriharmonic functions in the ball. 
@article{ZNSL_2000_270_a14,
     author = {M. M. Roginskaya},
     title = {Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {309--316},
     publisher = {mathdoc},
     volume = {270},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a14/}
}
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M. M. Roginskaya. Asymptotical properties of harmonic and $M$-harmonic functions near the boundary of the unit sphere. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 309-316. http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a14/