Pregled bibliografske jedinice broj: 511114
Harnack inequality and Hoelder regularity estimates for a Levy process with small jumps of high intensity
Harnack inequality and Hoelder regularity estimates for a Levy process with small jumps of high intensity // Journal of theoretical probability, 26 (2013), 2; 329-348 doi:10.1007/s10959-011-0361-8 (međunarodna recenzija, članak, znanstveni)
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Naslov
Harnack inequality and Hoelder regularity estimates for a Levy process with small jumps of high intensity
Autori
Mimica, Ante
Izvornik
Journal of theoretical probability (0894-9840) 26
(2013), 2;
329-348
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bernstein function; Green function; Levy process; Poisson kernel; harmonic function; Harnack inequality; subordinate Brownian motion
Sažetak
We consider a L\' evy process in $\R^d$ $ (d\geq 3)$ with the characteristic exponent \[ \Phi(\xi)=\frac{; ; ; ; ; |\xi|^2}; ; ; ; ; {; ; ; ; ; \ln(1+|\xi|^2)}; ; ; ; ; -1. \] The scale invariant Harnack inequality and apriori estimates of harmonic functions in H\" older spaces are proved.
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
