L^2$ Properties of L\'{e}vy Generators on Compact Riemannian Manifolds
We consider isotropic L\'evy processes on a compact Riemannian manifold, obtained from an $\mathbb{R}^d$-valued L\'evy process through rolling without slipping. We prove that the Feller semigroups associated with these processes extend to strongly continuous contraction semigroups on $L^p$...
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| Sprache: | eng |
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| Zusammenfassung: | We consider isotropic L\'evy processes on a compact Riemannian manifold,
obtained from an $\mathbb{R}^d$-valued L\'evy process through rolling without
slipping. We prove that the Feller semigroups associated with these processes
extend to strongly continuous contraction semigroups on $L^p$, for $1\leq
p |
|---|---|
| DOI: | 10.48550/arxiv.1907.11123 |