Harnack inequalities for subordinate Brownian motions
نویسندگان
چکیده
منابع مشابه
Harnack inequalities for subordinate Brownian motions ∗
We consider a subordinate Brownian motion X in R, d ≥ 1, where the Laplace exponent φ of the corresponding subordinator satisfies some mild conditions. The scale invariant Harnack inequality is proved for X. We first give new forms of asymptotical properties of the Lévy and potential density of the subordinator near zero. Using these results we find asymptotics of the Lévy density and potential...
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We establish a boundary Harnack principle for a large class of subordinate Brownian motion, including mixtures of symmetric stable processes, in bounded κ-fat open set (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded κ-fat open sets with respect to these processes with their E...
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2012
ISSN: 1083-6489
DOI: 10.1214/ejp.v17-1930