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Basic potential theory of certain nonsymmetric strictly alpha-stable processes


Vondraček, Zoran
Basic potential theory of certain nonsymmetric strictly alpha-stable processes // Glasnik Matematički, 37(57) (2002), 193-215 (podatak o recenziji nije dostupan, članak, znanstveni)


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

Autori
Vondraček, Zoran

Izvornik
Glasnik Matematički (0017-095X) 37(57) (2002); 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



POVEZANOST RADA


Projekt / tema
0037107

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Zoran Vondraček (autor)

Citiraj ovu publikaciju

Vondraček, Zoran
Basic potential theory of certain nonsymmetric strictly alpha-stable processes // Glasnik Matematički, 37(57) (2002), 193-215 (podatak o recenziji nije dostupan, članak, znanstveni)
Vondraček, Z. (2002) Basic potential theory of certain nonsymmetric strictly alpha-stable processes. Glasnik Matematički, 37(57), 193-215.
@article{article, author = {Vondra\v{c}ek, Z.}, year = {2002}, pages = {193-215}, keywords = {nonsymmetric stable processes, transition density, Green function, Poisson kernel, harmonic functions, Harnack inequality}, journal = {Glasnik Matemati\v{c}ki}, volume = {37(57)}, issn = {0017-095X}, title = {Basic potential theory of certain nonsymmetric strictly alpha-stable processes}, keyword = {nonsymmetric stable processes, transition density, Green function, Poisson kernel, harmonic functions, Harnack inequality} }

Uključenost u ostale bibliografske baze podataka:


  • Mathematical Reviews