Perturbations of Pseudodifferential Operators with Negative Definite Symbol |
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Authors: | Hoh |
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Affiliation: | (1) Fakult?t für Mathematik, Universit?t Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany hoh@mathematik.uni-bielefeld.de Communicated by M. R?ckner, DE |
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Abstract: | Pseudodifferential operators with negative definite symbols appear as generators of jump-type Markov processes. The purpose of this paper is to treat the large jumps of the process by a perturbation approach for the generator. This is of particular interest since in this way the generators are made accessible to a symbolic calculus of pseudodifferential operators. The main auxiliary result consists of a characterization of tightness of the jump measures in terms of the symbol. |
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Keywords: | . L{é}vy-type process Generator Symbolic calculus Tightness. AMS Classification. 35S05 60J75 47D06. |
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