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On Feller processes with sample paths in Besov spaces
journal contribution
posted on 2023-06-07, 21:44 authored by Rene SchillingUnder mild regularity assumptions on its domain the infinitesimal generator of a Feller process is known to be a pseudo-differential operator. We give a simple condition on the symbol of the generator in order to characterize the smoothness of the sample paths of real-valued Feller processes in terms of Besov spaces Bpqs(R) . Our result extends previous papers on the paths of Gaussian, symmetric a -stable [6], [20], and Lévy processes [11].
History
Publication status
- Published
Journal
Mathematische AnnalenISSN
0025-5831Publisher
Springer VerlagExternal DOI
Issue
4Volume
309Page range
663-675ISBN
0025-5831Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes