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math.PR2005★ 7 cited
Estimates of potential kernel and Harnack's inequality for anisotropic fractional Laplacian
Krzysztof Bogdan, Paweł Sztonyk
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also…
math.PR2004
Symmetric stable processes in parabola--shaped regions
Rodrigo Banuelos, Krzysztof Bogdan
We identify the critical exponent of integrability of the first exit time of rotation invariant stable Lévy process from parabola--shaped region.