arXiv subjects

Krzysztof Bogdan

Publications and source records attributed to Krzysztof Bogdan.

56 records · Page 4Linked to original sources

arXiv2005

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

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.

math.PR↗

arXiv2004

Symmetric stable processes in parabola--shaped regions

We identify the critical exponent of integrability of the first exit time of rotation invariant stable Lévy process from parabola--shaped region.

math.PR↗