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Gaugeability for Feynman-Kac functionals with applications to symmetric  -stable processes |
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| Authors: | Masayoshi Takeda |
| Affiliation: | Mathematical Institute, Tohoku University, Aoba, Sendai, 980-8578, Japan |
| Abstract: | For symmetric  -stable processes, an analytic criterion for a measure being gaugeable was obtained by Z.-Q. Chen (2002), M. Takeda (2002) and M. Takeda and T. Uemura (2004). Applying it, we consider the ultracontractivity of Feynman-Kac semigroups and expectations of the number of branches hitting closed sets in branching symmetric  -stable processes. |
| Keywords: | Symmetric stable process gaugeability subcriticality ultracontractivity branching process |
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