Geodesic
Some properties of $\alpha$-harmonic measure
Dimitrios Betsakos1
1 Department of Mathematics Aristotle University of Thessaloniki 54124 Thessaloniki, Greece
Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 297-314

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The $\alpha$-harmonic measure is the hitting distribution of symmetric $\alpha$-stable processes upon exiting an open set in ${\mathbb R}^n$ ($0\alpha2$, $n\geq 2$). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for $\alpha$-harmonic measure.
DOI : 10.4064/cm111-2-8
Keywords: alpha harmonic measure hitting distribution symmetric alpha stable processes exiting set mathbb alpha geq defined context riesz potential theory fractional laplacian prove geometric estimates alpha harmonic measure

Dimitrios Betsakos 1

1 Department of Mathematics Aristotle University of Thessaloniki 54124 Thessaloniki, Greece 
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Dimitrios Betsakos. Some properties of $\alpha$-harmonic measure. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 297-314. doi: 10.4064/cm111-2-8

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