Pregled bibliografske jedinice broj: 585022
On harmonic functions of symmetric Levy processes
On harmonic functions of symmetric Levy processes // Annales de l institut henri poincare-probabilites et statistiques, 50 (2014), 1; 214-235 doi:10.1214/12-AIHP508 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 585022 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On harmonic functions of symmetric Levy processes
Autori
Mimica, Ante
Izvornik
Annales de l institut henri poincare-probabilites et statistiques (0246-0203) 50
(2014), 1;
214-235
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
geometric stable process; Green function; harmonic function; Levy process; modulus of continuity; subordinator; subordinate Brownian motion
Sažetak
We consider some classes of Lévy processes for which the estimate of Krylov and Safonov (as in Bass, Levin '02) fails and thus it is not possible to use the standard iteration technique to obtain a-priori Hölder continuity estimates of harmonic functions. Despite the failure of this method, we obtain some a-priori regularity estimates of harmonic functions for these processes. Moreover, we extend results from Šikić, Song, Vondraček '06 and obtain asymptotic behavior of the Green function and the Lévy density for a large class of subordinate Brownian motions, where the Laplace exponent of the corresponding subordinator is a slowly varying function
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372790-2801 - Slučajni procesi sa skokovima (Vondraček, Zoran, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Ante Mimica
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
