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On the Strongly Supermedian Functions and Kernels |
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| Authors: | |
| Institution: | (1) Institute of Mathematics  Simion Stoilow of the Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania;(2) Faculty of Mathematics, University of Bucharest, str. Academiei 14, RO-70109 Bucharest, Romania |
| Abstract: | We answer to a question of P.J. Fitzsimmons and R.K. Getoor concerning the characterization of a strongly supermedian function by the property of being  universally supermedian. Based on the Revuz correspondence we also prove (alternatively to the probabilistic approach of Fitzsimmons and Getoor) that the Radon–Nikodym derivative between the Revuz measures of a semiregular excessive kernel and the regular strongly supermedian kernel generating it, does not depend on the kernel.
Mathematics Subject Classifications (2000) Primary 60J45, 31D05; Secondary 60J35, 60J40. |
| Keywords: | strongly supermedian function regular strongly supermedian kernel semiregular excessive kernel Revuz measure excessive measure |
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