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arXiv · 1104.4610

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

Ante Mimica
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Abstract

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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Ante Mimica. 2011-04-24. Harnack inequality and H\" older regularity estimates for a L\' evy process with small jumps of high intensity. https://arxiv.org/abs/1104.4610

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