Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Boundary Harnack principle for the absolute value of a one-dimensional subordinate Brownian motion killed at 0 (CROSBI ID 235608)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Wagner, Vanja Boundary Harnack principle for the absolute value of a one-dimensional subordinate Brownian motion killed at 0 // Electronic communications in probability, 21 (2016), 84, 12. doi: 10.1214/16-ECP28

Podaci o odgovornosti

Wagner, Vanja

engleski

Boundary Harnack principle for the absolute value of a one-dimensional subordinate Brownian motion killed at 0

We prove the Harnack inequality and boundary Harnack principle for the absolute value of a one-dimensional recurrent subordinate Brownian motion killed upon hitting 0, when 0 is regular for itself and the Laplace exponent of the subordinator satisfies certain global scaling conditions. Using the conditional gauge theorem for symmetric Hunt processes we prove that the Green function of this process killed outside of some interval $(a, b)$ is comparable to the Green function of the corresponding killed subordinate Brownian motion. We also consider several properties of the compensated resolvent kernel $h$, which is harmonic for our process on $(0, \infty)$.

Green functions ; subordinator ; subordinate Brownian motion ; harmonic functions ; Harnack inequality ; boundary Harnack principle ; Feynman-Kac transform ; conditional gauge theorem

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

21

2016.

84

12

objavljeno

1083-589X

10.1214/16-ECP28

Povezanost rada

Matematika

Poveznice
Indeksiranost