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Displaying similar documents to “Pathwise uniqueness for reflecting Brownian motion in certain planar Lipschitz domains.”

Minimal thinness for subordinate Brownian motion in half-space

Panki Kim, Renming Song, Zoran Vondraček (2012)

Annales de l’institut Fourier

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We study minimal thinness in the half-space H : = { x = ( x ˜ , x d ) : x ˜ d - 1 , x d > 0 } for a large class of subordinate Brownian motions. We show that the same test for the minimal thinness of a subset of H below the graph of a nonnegative Lipschitz function is valid for all processes in the considered class. In the classical case of Brownian motion this test was proved by Burdzy.