$Gaugeability for Feynman-Kac functionals with applications to symmetric \alpha-stable processes$

Gaugeability for Feynman-Kac functionals with applications to symmetric \alpha-stable processes

For symmetric \alpha-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 hitt...

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Veröffentlicht in:	Proceedings of the American Mathematical Society 2006-09, Vol.134 (9), p.2729-2738
1. Verfasser:	Takeda, Masayoshi
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Markov processes Mathematical analysis Mathematical functions Mathematical theorems Mathematics Partial differential equations Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Semigroups Transition probabilities
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Zusammenfassung:	For symmetric \alpha-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 \alpha-stable processes.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/S0002-9939-06-08281-5