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Representation of harmonic functions with respect to subordinate Brownian motion
Ivan Biočić · 2020-10-03 · via math.PR updates on arXiv.org

In this article we prove a representation formula for non-negative generalized harmonic functions with respect to a subordinate Brownian motion in a general open set $D\subset \mathbb{R}^d$. We also study oscillation properties of quotients of Poisson integrals and prove that oscillation can be uniformly tamed.

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