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Contents of PMS, Vol. 40, Fasc. 2,
pages 183 - 204
DOI: 10.37190/0208-4147.40.2.1
Published online 25.5.2020
 

Transition density estimates for relativistic $\alpha$-stable processes on metric spaces

Hubert Balsam
Katarzyna Pietruska-Pałuba

Abstract: We prove matching upper and lower bounds for the transition density of relativistic α-stable processes on a d-set (F,ρ,μ), obtained via subordination. We also identify the corresponding Dirichlet form.

2010 AMS Mathematics Subject Classification: Primary 60J35, 60J76; Secondary 60B99.

Keywords and phrases: relativistic stable process, $d$-set, transition density, Dirichlet form.

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