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Feyel's Techniques on the Supermedian Functionals and Strongly Supermedian Functions |
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| Authors: | Beznea Lucian Boboc Nicu |
| Affiliation: | (1) Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania. e-mail;(2) Faculty of Mathematics, University of Bucharest, str. Academiei 14, RO-70109 Bucharest, Romania |
| Abstract: | We study the strongly supermedian functions and the supermedian functionals associated with a submarkovian resolvent on a Lusin space. We extend results of D. Feyel and J. F. Mertens to a general right process. The existence of a positive potential replaces the usual hypothesis that the process possesses left limits in the space. |
| Keywords: | Supermedian functionals strongly supermedian functions quasi Lindelö f property quasi continuity. |
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