Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
Krzysztof Bogdan ; Paweł Sztonyk
Studia Mathematica, Tome 178 (2007), p. 101-123 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284988 
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     title = {Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian},
     journal = {Studia Mathematica},
     volume = {178},
     year = {2007},
     pages = {101-123},
     zbl = {1223.47038},
     language = {en},
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Krzysztof Bogdan; Paweł Sztonyk. Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian. Studia Mathematica, Tome 178 (2007) pp. 101-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm181-2-1/