Harnack inequality and Hölder regularity estimates for a Lévy process with small jumps of high intensity
نویسنده
چکیده
We consider a Lévy process in Rd (d ≥ 3) with the characteristic exponent Φ(ξ) = |ξ|2 ln(1 + |ξ|2) − 1. The scale invariant Harnack inequality and apriori estimates of harmonic functions in Hölder spaces are proved. AMS Subject Classification: Primary 60J45, Secondary 60G50, 60G51, 60J25, 60J27
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