The (strong) Liouville property for a class of non-local operators

Abstract

We prove a necessary and sufficient condition for the Liouville and strong Liouville properties of the infinitesimal generator of a Lévy process and subordinate Lévy processes. Combining our criterion with the necessary and sufficient condition obtained by Alibaud et al., we obtain a characterization of (orthogonal subgroup of) the set of zeros of the characteristic exponent of the Lévy process.

arXiv admin note: text overlap with arXiv:1909.01237

References in corpus (1)

• A Liouville theorem for Lévy generators

Cited by in corpus (1)

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