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.
Representation of harmonic functions with respect to subordinate Brownian motion
Biocic, Ivan
2022-01-01
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 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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
representation_jmaa2021.pdf
Accesso riservato
Dimensione
589.54 kB
Formato
Adobe PDF
|
589.54 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
