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Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure
Jaming, Philippe ; Roginskaya, Maria
HAL, hal-00007478 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  M-harmonic functions,  boundary behaviour,  non-isotropic Hausdorff measure,  non-isotropic Hausdorff dimension,  28A78,32H20,42B25,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00007478,
     author = {Jaming, Philippe and Roginskaya, Maria},
     title = {Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00007478}
}

Jaming, Philippe; Roginskaya, Maria. Boundary behaviour of M-harmonic functions and non-isotropic Hausdorff measure. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007478/