On hypoellipticity of generators of Lévy processes
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چکیده
We give a sufficient condition on a Lévy measure μ which ensures that the generator L of the corresponding pure jump Lévy process is (locally) hypoelliptic, i.e., sing suppu ⊆ sing suppLu for all admissible u. In particular, we assume that μ|Rd\{0} ∈ C ∞(Rd \ 0). We also show that this condition is necessary provided that suppμ is compact.
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تاریخ انتشار 2008