Some properties of α-harmonic measure

• Autorzy: Dimitrios Betsakos
• Języki publikacji: EN

Abstrakty

EN

The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.

Kategorie tematyczne

• 31B15: Potentials and capacities, extremal length
• 31C05: Harmonic, subharmonic, superharmonic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 111
• Numer: 2
• Strony: 297-314

Daty

wydano

2008

Twórcy

autor

Dimitrios Betsakos

• Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

Identyfikatory

DOI

10.4064/cm111-2-8