Representation of harmonic functions with respect to subordinate Brownian motion

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:506

Article

Biocic, Ivan¹ 

[1] Univ Zagreb, Dept Math, Fac Sci, Zagreb, Croatia

关键词: Representation of harmonic functions;    Relative oscillation;    Subordinate Brownian motions;   

DOI  :  10.1016/j.jmaa.2021.125554

来源: Elsevier

【 摘 要 】

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 of R-d. We also study oscillation properties of quotients of Poisson integrals and prove that oscillation can be uniformly tamed. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free