Mathematics – Probability
Scientific paper
2011-04-24
Mathematics
Probability
20 pages
Scientific paper
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.
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