Harnack inequality and H\" older regularity estimates for a L\' evy process with small jumps of high intensity

Ante Mimica

We consider a L\' evy process in ${\mathbb{R}}^d$ $(d\ge 3)$ with the characteristic exponent \[ Φ(ξ)=\frac{|ξ|^2}{\ln(1+|ξ|^2)}-1. \] The scale invariant Harnack inequality and apriori es…