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

7 citations · 7 across the 2 of their papers we have counts for

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2 papers

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.