On Feller processes with sample paths in Besov spaces

  title={On Feller processes with sample paths in Besov spaces},
  author={R. Schilling},
  journal={Mathematische Annalen},
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]. 
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