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
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