Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian

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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.
28 pages

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Probability, 47D03, 31C05

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http://salesiana.dossiersoluciones.com/handle/123456789/75923

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507579
 http://arxiv.org/abs/math/0507579

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arXiv