# On Feller processes with sample paths in Besov spaces

@article{Schilling1997OnFP, title={On Feller processes with sample paths in Besov spaces}, author={R. Schilling}, journal={Mathematische Annalen}, year={1997}, volume={309}, pages={663-675} }

Abstract. Under 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
$B^s_{pq}({\Bbb R})$. Our result extends previous papers on the paths of Gaussian, symmetric
$\alpha$-stable [6], [20], and Lévy processes [11].

#### 28 Citations

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