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Mathematics
Probability
Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian
Krzysztof Bogdan
,
Paweł Sztonyk
Abstract
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.
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Submitted on 27 Jul 2005
Updated
arXiv.org
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