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Estimates of Green Function for some perturbations of fractional Laplacian

Tomasz Grzywny·Michał Ryznar
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Abstract

Suppose that Y(t) is a d-dimensional Levy symmetric process for which its Levy measure differs from the Levy measure of the isotropic alpha-stable process (0 0, we prove that the Green functions are comparable, provided D is connected. These results apply for example to alpha-stable relativistic process. This process was studied in recent years. In the paper we also considered one dimensional case for alpha<= 1 and proved that the Green functions for an open and bounded interval are comparable.

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Tomasz Grzywny, Michał Ryznar. 2006-05-14. Estimates of Green Function for some perturbations of fractional Laplacian. https://arxiv.org/abs/math/0605370

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