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Harnack inequality and Hoelder regularity estimates for a Levy process with small jumps of high intensity (CROSBI ID 171334)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Mimica, Ante 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

Podaci o odgovornosti

Mimica, Ante

engleski

Harnack inequality and Hoelder regularity estimates for a Levy process with small jumps of high intensity

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.

Bernstein function; Green function; Levy process; Poisson kernel; harmonic function; Harnack inequality; subordinate Brownian motion

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Podaci o izdanju

26 (2)

2013.

329-348

objavljeno

0894-9840

10.1007/s10959-011-0361-8

Povezanost rada

Matematika

Poveznice
Indeksiranost