Representation of harmonic functions with respect to subordinate Brownian motion

2020/10/02 by Biočić, Ivan · 2 citations
#31B10 (Primary) 31B05 #31B25 #60J45 (Secondary) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2010.01206

Abstract

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⊂ ℝ^d. We also study oscillation properties of quotients of Poisson integrals and prove that oscillation can be uniformly tamed.

Cited by

• Large solutions for subordinate spectral Laplacian
• Large solutions to semilinear equations for subordinate Laplacians in C^1,1 bounded open sets

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