Naslov
Basic potential theory of certain nonsymmetric strictly alpha-stable processes

Autori
Vondraček, Zoran

Izvornik
Glasnik matematički (0017-095X) 37 (2002), 1; 193-215

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
nonsymmetric stable processes ; transition density ; Green function ; Poisson kernel ; harmonic functions ; Harnack inequality

Sažetak
We study potential theoretic properties of strictly alpha-stable processes whose Levy measure is comparable to that of a symmetric alpha-stable process. We show the existence, continuity and strict positivity of transition densities and Green function of the process killed upon exiting a bounded domain. We further show that the exit distributions of the process from a domain satisfying the uniform volume condition have a density. The density is used to establish a representation of regular harmonic functions of the process. Finally, we indicate that the Harnack inequality is true for nonnegative harmonic functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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